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2229793920 = 2734543013
BaseRepresentation
bin1000010011100111…
…1111010010000000
312202101202021020000
42010321333102000
514031311401140
61005132120000
7106153635624
oct20471772200
95671667200
102229793920
11a4472a1a2
12522906000
13296c638b3
141721d5184
15d0b54a30
hex84e7f480

2229793920 has 160 divisors (see below), whose sum is σ = 7963181820. Its totient is φ = 594597888.

The previous prime is 2229793919. The next prime is 2229793927. The reversal of 2229793920 is 293979222.

It can be written as a sum of positive squares in 2 ways, for example, as 2210504256 + 19289664 = 47016^2 + 4392^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2229793927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30334 + ... + 73346.

Almost surely, 22229793920 is an apocalyptic number.

2229793920 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 2229793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981590910).

2229793920 is an abundant number, since it is smaller than the sum of its proper divisors (5733387900).

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

2229793920 is an equidigital number, since it uses as much as digits as its factorization.

2229793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43044 (or 43023 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2229793920 is about 47220.6937687281. The cubic root of 2229793920 is about 1306.4363099867.

The spelling of 2229793920 in words is "two billion, two hundred twenty-nine million, seven hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 43013 51840 86026 129039 172052 215065 258078 344104 387117 430130 516156 645195 688208 774234 860260 1032312 1161351 1290390 1376416 1548468 1720520 1935585 2064624 2322702 2580780 2752832 3096936 3441040 3484053 3871170 4129248 4645404 5161560 5505664 5806755 6193872 6882080 6968106 7742340 8258496 9290808 10323120 11613510 12387744 13764160 13936212 15484680 16516992 17420265 18581616 20646240 23227020 24775488 27528320 27872424 30969360 34840530 37163232 41292480 46454040 49550976 55744848 61938720 69681060 74326464 82584960 92908080 111489696 123877440 139362120 148652928 185816160 222979392 247754880 278724240 371632320 445958784 557448480 743264640 1114896960 2229793920