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23282182225 = 52305172
BaseRepresentation
bin10101101011101110…
…011110100001010001
32020002120112101211101
4111223232132201101
5340140214312400
614410133544401
71452645166201
oct255356364121
966076471741
1023282182225
119968204115
1246191a5101
13227068bbb3
1411ac184401
15913e9e56a
hex56bb9e851

23282182225 has 9 divisors (see below), whose sum is σ = 28870852017. Its totient is φ = 18625135440.

The previous prime is 23282182211. The next prime is 23282182271. The reversal of 23282182225 is 52228128232.

The square root of 23282182225 is 152585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13986137169 + 9296045056 = 118263^2 + 96416^2 .

It is not a de Polignac number, because 23282182225 - 27 = 23282182097 is a prime.

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, 747667 + ... + 778183.

Almost surely, 223282182225 is an apocalyptic number.

23282182225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23282182225 is the 152585-th square number.

23282182225 is the 76293-rd centered octagonal number.

It is an amenable number.

23282182225 is a deficient number, since it is larger than the sum of its proper divisors (5588669792).

23282182225 is an frugal number, since it uses more digits than its factorization.

23282182225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61044 (or 30522 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The spelling of 23282182225 in words is "twenty-three billion, two hundred eighty-two million, one hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 30517 152585 762925 931287289 4656436445 23282182225