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23399820900 = 22325250992
BaseRepresentation
bin10101110010101111…
…001110111001100100
32020101202220001202100
4111302233032321210
5340410323232100
614425535212100
71455604124121
oct256257167144
966352801670
1023399820900
119a18652865
124650677030
13228bb6a091
1411bda47748
1591e48a400
hex572bcee64

23399820900 has 81 divisors (see below), whose sum is σ = 73359825721. Its totient is φ = 6238728480.

The previous prime is 23399820859. The next prime is 23399820907. The reversal of 23399820900 is 902899332.

The square root of 23399820900 is 152970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8423935524 + 14975885376 = 91782^2 + 122376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23399820907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4586551 + ... + 4591649.

Almost surely, 223399820900 is an apocalyptic number.

23399820900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23399820900 is the 152970-th square number.

It is an amenable number.

23399820900 is an abundant number, since it is smaller than the sum of its proper divisors (49960004821).

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

23399820900 is an equidigital number, since it uses as much as digits as its factorization.

23399820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 23399820900 in words is "twenty-three billion, three hundred ninety-nine million, eight hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5099 10198 15297 20396 25495 30594 45891 50990 61188 76485 91782 101980 127475 152970 183564 229455 254950 305940 382425 458910 509900 764850 917820 1147275 1529700 2294550 4589100 25999801 51999602 77999403 103999204 129999005 155998806 233998209 259998010 311997612 389997015 467996418 519996020 649995025 779994030 935992836 1169991045 1299990050 1559988060 1949985075 2339982090 2599980100 3899970150 4679964180 5849955225 7799940300 11699910450 23399820900