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23032404252 = 2232111322320063
BaseRepresentation
bin10101011100110101…
…101001100100011100
32012110011112100212100
4111130311221210130
5334132243414002
614325252205100
71443523130424
oct253465514434
965404470770
1023032404252
11984a212240
124569609790
1322309c6590
141186d25484
158ec0b111c
hex55cd6991c

23032404252 has 144 divisors (see below), whose sum is σ = 68709408768. Its totient is φ = 6413420160.

The previous prime is 23032404203. The next prime is 23032404271. The reversal of 23032404252 is 25240423032.

It is a happy number.

23032404252 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 2 + 404 + 252 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137973 + ... + 1158035.

It is an arithmetic number, because the mean of its divisors is an integer number (477148672).

Almost surely, 223032404252 is an apocalyptic number.

23032404252 is a gapful number since it is divisible by the number (22) 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 23032404252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354704384).

23032404252 is an abundant number, since it is smaller than the sum of its proper divisors (45677004516).

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

23032404252 is a wasteful number, since it uses less digits than its factorization.

23032404252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20320 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23032404252 its reverse (25240423032), we get a palindrome (48272827284).

The spelling of 23032404252 in words is "twenty-three billion, thirty-two million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 223 234 286 396 429 446 468 572 669 858 892 1287 1338 1716 2007 2453 2574 2676 2899 4014 4906 5148 5798 7359 8028 8697 9812 11596 14718 17394 20063 22077 26091 29436 31889 34788 40126 44154 52182 60189 63778 80252 88308 95667 104364 120378 127556 180567 191334 220693 240756 260819 287001 361134 382668 441386 521638 574002 662079 722268 782457 882772 1043276 1148004 1324158 1564914 1986237 2347371 2648316 2869009 3129828 3972474 4474049 4694742 5738018 7944948 8607027 8948098 9389484 11476036 13422147 17214054 17896196 25821081 26844294 34428108 40266441 49214539 51642162 53688588 58162637 80532882 98429078 103284324 116325274 147643617 161065764 174487911 196858156 232650548 295287234 348975822 442930851 523463733 590574468 639789007 697951644 885861702 1046927466 1279578014 1771723404 1919367021 2093854932 2559156028 3838734042 5758101063 7677468084 11516202126 23032404252