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229579011272 = 231328321572
BaseRepresentation
bin1101010111001111111…
…0011011010011001000
3210221120202102010220102
43111303332123103020
512230134211330042
6253244522544532
722405116253322
oct3256376332310
9727522363812
10229579011272
1189400404166
12385b1668148
1318859404500
14b17c660612
155e8a140b32
hex3573f9b4c8

229579011272 has 108 divisors (see below), whose sum is σ = 474827934195. Its totient is φ = 104016152448.

The previous prime is 229579011247. The next prime is 229579011349. The reversal of 229579011272 is 272110975922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7479828196 + 222099183076 = 86486^2 + 471274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338806.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1462286618 + ... + 1462286774.

Almost surely, 2229579011272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229579011272

229579011272 is an abundant number, since it is smaller than the sum of its proper divisors (245248922923).

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

229579011272 is an equidigital number, since it uses as much as digits as its factorization.

229579011272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 47.

The spelling of 229579011272 in words is "two hundred twenty-nine billion, five hundred seventy-nine million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 83 104 157 166 169 314 332 338 628 664 676 1079 1256 1352 2041 2158 4082 4316 6889 8164 8632 13031 13778 14027 16328 24649 26062 26533 27556 28054 49298 52124 53066 55112 56108 89557 98596 104248 106132 112216 169403 179114 197192 212264 320437 338806 358228 640874 677612 716456 1081573 1164241 1281748 1355224 2045867 2163146 2202239 2328482 2563496 4091734 4165681 4326292 4404478 4656964 8183468 8331362 8652584 8808956 9313928 14060449 16366936 16662724 17617912 26596271 28120898 33325448 53192542 56241796 106385084 112483592 169806961 182785837 212770168 339613922 345751523 365571674 679227844 691503046 731143348 1358455688 1383006092 1462286696 2207490493 2766012184 4414980986 8829961972 17659923944 28697376409 57394752818 114789505636 229579011272