Search a number
-
+
23610874900 = 2252298141681
BaseRepresentation
bin10101111111010100…
…010101110000010100
32020221111000201102011
4111333110111300110
5341323340444100
614502514554004
71464046060654
oct257724256024
966844021364
1023610874900
11a0167a5858
1246ab298904
1322c37c48c2
1411ddaa6364
15932c79bba
hex57f515c14

23610874900 has 36 divisors (see below), whose sum is σ = 53002349820. Its totient is φ = 9118681600.

The previous prime is 23610874897. The next prime is 23610874907. The reversal of 23610874900 is 947801632.

It can be written as a sum of positive squares in 6 ways, for example, as 4252604944 + 19358269956 = 65212^2 + 139134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23610874907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4067941 + ... + 4073740.

It is an arithmetic number, because the mean of its divisors is an integer number (1472287495).

Almost surely, 223610874900 is an apocalyptic number.

23610874900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23610874900 is an abundant number, since it is smaller than the sum of its proper divisors (29391474920).

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

23610874900 is a wasteful number, since it uses less digits than its factorization.

23610874900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141724 (or 8141717 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 23610874900 in words is "twenty-three billion, six hundred ten million, eight hundred seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 8141681 16283362 32566724 40708405 81416810 162833620 203542025 236108749 407084050 472217498 814168100 944434996 1180543745 2361087490 4722174980 5902718725 11805437450 23610874900