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228324866560 = 295719670597
BaseRepresentation
bin1101010010100100111…
…0001111101000000000
3210211100100111222210021
43110221032033220000
512220102131212220
6252520242143224
722332050225620
oct3245116175000
9724310458707
10228324866560
118891748672a
1238301651b14
13186b963324b
14b09dc78880
155e14eac4aa
hex352938fa00

228324866560 has 160 divisors (see below), whose sum is σ = 658580883840. Its totient is φ = 74162552832.

The previous prime is 228324866537. The next prime is 228324866591. The reversal of 228324866560 is 65668423822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228324866498 and 228324866507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5182 + ... + 675778.

It is an arithmetic number, because the mean of its divisors is an integer number (4116130524).

Almost surely, 2228324866560 is an apocalyptic number.

228324866560 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 228324866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329290441920).

228324866560 is an abundant number, since it is smaller than the sum of its proper divisors (430256017280).

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

228324866560 is an equidigital number, since it uses as much as digits as its factorization.

228324866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670646 (or 670630 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 228324866560 in words is "two hundred twenty-eight billion, three hundred twenty-four million, eight hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2560 2660 3040 3584 4256 4480 4864 5320 6080 8512 8960 9728 10640 12160 17024 17920 21280 24320 34048 42560 48640 68096 85120 170240 340480 670597 1341194 2682388 3352985 4694179 5364776 6705970 9388358 10729552 12741343 13411940 18776716 21459104 23470895 25482686 26823880 37553432 42918208 46941790 50965372 53647760 63706715 75106864 85836416 89189401 93883580 101930744 107295520 127413430 150213728 171672832 178378802 187767160 203861488 214591040 254826860 300427456 343345664 356757604 375534320 407722976 429182080 445947005 509653720 600854912 713515208 751068640 815445952 858364160 891894010 1019307440 1201709824 1427030416 1502137280 1630891904 1716728320 1783788020 2038614880 2403419648 2854060832 3004274560 3261783808 3567576040 4077229760 5708121664 6008549120 6523567616 7135152080 8154459520 11416243328 12017098240 14270304160 16308919040 22832486656 28540608320 32617838080 45664973312 57081216640 114162433280 228324866560