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23125435600 = 2452137421997
BaseRepresentation
bin10101100010011000…
…100010010011010000
32012200122120211212211
4111202120202103100
5334330102414400
614342414201504
71446032650021
oct254230422320
965618524784
1023125435600
119897784053
1245947b3294
13224706a207
141195420c48
1590533adba
hex5626224d0

23125435600 has 60 divisors (see below), whose sum is σ = 55964530764. Its totient is φ = 9182632960.

The previous prime is 23125435549. The next prime is 23125435621. The reversal of 23125435600 is 653452132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 454712976 + 22670722624 = 21324^2 + 150568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156199 + ... + 265798.

Almost surely, 223125435600 is an apocalyptic number.

23125435600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23125435600 is an abundant number, since it is smaller than the sum of its proper divisors (32839095164).

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

23125435600 is a wasteful number, since it uses less digits than its factorization.

23125435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422152 (or 422141 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 23125435600 its reverse (653452132), we get a palindrome (23778887732).

The spelling of 23125435600 in words is "twenty-three billion, one hundred twenty-five million, four hundred thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 274 400 548 685 1096 1370 2192 2740 3425 5480 6850 10960 13700 27400 54800 421997 843994 1687988 2109985 3375976 4219970 6751952 8439940 10549925 16879880 21099850 33759760 42199700 57813589 84399400 115627178 168798800 231254356 289067945 462508712 578135890 925017424 1156271780 1445339725 2312543560 2890679450 4625087120 5781358900 11562717800 23125435600