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23295916900 = 2252152632
BaseRepresentation
bin10101101100100010…
…110111101101100100
32020010112101012021001
4111230202313231210
5340202223320100
614411344203044
71453203012034
oct255442675544
966115335231
1023295916900
119974a35193
124621909484
13227348a619
1411add1b8c4
159152b3d6a
hex56c8b7b64

23295916900 has 27 divisors (see below), whose sum is σ = 50555451961. Its totient is φ = 9317756240.

The previous prime is 23295916849. The next prime is 23295916913. The reversal of 23295916900 is 961959232.

The square root of 23295916900 is 152630.

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., 8386530084 + 14909386816 = 91578^2 + 122104^2 .

It is a super-2 number, since 2×232959169002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1518669 + ... + 1533931.

Almost surely, 223295916900 is an apocalyptic number.

23295916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23295916900 is the 152630-th square number.

It is an amenable number.

23295916900 is an abundant number, since it is smaller than the sum of its proper divisors (27259535061).

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

23295916900 is an frugal number, since it uses more digits than its factorization.

23295916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30540 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 23295916900 in words is "twenty-three billion, two hundred ninety-five million, nine hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15263 30526 61052 76315 152630 305260 381575 763150 1526300 232959169 465918338 931836676 1164795845 2329591690 4659183380 5823979225 11647958450 23295916900