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228941222622720 = 2935187915864851
BaseRepresentation
bin110100000011100010001000…
…001111111011011000000000
31010000121120022102220020220020
4310003202020033323120000
5220001433110442411340
62130530051251013440
766136312630550016
oct6403421017733000
91100546272806806
10228941222622720
1166a47477759a53
122181641429a280
139a990ac08a9ca
144076b586128b6
151b704473a79d0
hexd038883fb600

228941222622720 has 160 divisors (see below), whose sum is σ = 732286031051520. Its totient is φ = 61018497638400.

The previous prime is 228941222622719. The next prime is 228941222622727. The reversal of 228941222622720 is 27226222149822.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228941222622727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6498295 + ... + 22363145.

It is an arithmetic number, because the mean of its divisors is an integer number (4576787694072).

Almost surely, 2228941222622720 is an apocalyptic number.

228941222622720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228941222622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366143015525760).

228941222622720 is an abundant number, since it is smaller than the sum of its proper divisors (503344808428800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228941222622720 is a wasteful number, since it uses less digits than its factorization.

228941222622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866756 (or 15866740 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 228941222622720 in words is "two hundred twenty-eight trillion, nine hundred forty-one billion, two hundred twenty-two million, six hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1879 1920 2560 3758 3840 5637 7516 7680 9395 11274 15032 18790 22548 28185 30064 37580 45096 56370 60128 75160 90192 112740 120256 150320 180384 225480 240512 300640 360768 450960 481024 601280 721536 901920 962048 1202560 1443072 1803840 2405120 2886144 3607680 4810240 7215360 14430720 15864851 31729702 47594553 63459404 79324255 95189106 126918808 158648510 190378212 237972765 253837616 317297020 380756424 475945530 507675232 634594040 761512848 951891060 1015350464 1269188080 1523025696 1903782120 2030700928 2538376160 3046051392 3807564240 4061401856 5076752320 6092102784 7615128480 8122803712 10153504640 12184205568 15230256960 20307009280 24368411136 29810055029 30460513920 40614018560 59620110058 60921027840 89430165087 119240220116 121842055680 149050275145 178860330174 238480440232 298100550290 357720660348 447150825435 476960880464 596201100580 715441320696 894301650870 953921760928 1192402201160 1430882641392 1788603301740 1907843521856 2384804402320 2861765282784 3577206603480 3815687043712 4769608804640 5723530565568 7154413206960 7631374087424 9539217609280 11447061131136 14308826413920 15262748174848 19078435218560 22894122262272 28617652827840 38156870437120 45788244524544 57235305655680 76313740874240 114470611311360 228941222622720