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23234202432 = 263371920817
BaseRepresentation
bin10101101000110111…
…011100101101000000
32012222020020202221000
4111220313130231000
5340040423434212
614401301332000
71451523314340
oct255067345500
965866222830
1023234202432
1199431131a1
124605107000
13226376019c
1411a5a54d20
1590eb731dc
hex568ddcb40

23234202432 has 112 divisors (see below), whose sum is σ = 78062043520. Its totient is φ = 6638340096.

The previous prime is 23234202401. The next prime is 23234202457. The reversal of 23234202432 is 23420243232.

It is a happy number.

23234202432 is a `hidden beast` number, since 2 + 3 + 23 + 4 + 202 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23234202396 and 23234202405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948313 + ... + 972504.

Almost surely, 223234202432 is an apocalyptic number.

It is an amenable number.

23234202432 is an abundant number, since it is smaller than the sum of its proper divisors (54827841088).

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

23234202432 is a wasteful number, since it uses less digits than its factorization.

23234202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920845 (or 1920829 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23234202432 its reverse (23420243232), we get a palindrome (46654445664).

The spelling of 23234202432 in words is "twenty-three billion, two hundred thirty-four million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1920817 3841634 5762451 7683268 11524902 13445719 15366536 17287353 23049804 26891438 30733072 34574706 40337157 46099608 51862059 53782876 61466144 69149412 80674314 92199216 103724118 107565752 121011471 122932288 138298824 161348628 184398432 207448236 215131504 242022942 276597648 322697256 363034413 368796864 414896472 430263008 484045884 553195296 645394512 726068826 829792944 860526016 968091768 1106390592 1290789024 1452137652 1659585888 1936183536 2581578048 2904275304 3319171776 3872367072 5808550608 7744734144 11617101216 23234202432