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182427223225 = 5213265712
BaseRepresentation
bin1010100111100110000…
…0101000010010111001
3122102212200000010120011
42221321200220102321
510442102332120400
6215450024301521
716115500545442
oct2517140502271
9572780003504
10182427223225
1170404458995
122b4326118a1
1314283772300
148b883042c9
154b2a85a8ba
hex2a798284b9

182427223225 has 27 divisors (see below), whose sum is σ = 244986309549. Its totient is φ = 134694986400.

The previous prime is 182427223211. The next prime is 182427223267. The reversal of 182427223225 is 522322724281.

It is a happy number.

The square root of 182427223225 is 427115.

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 47020886649 + 135406336576 = 216843^2 + 367976^2 .

It is a de Polignac number, because none of the positive numbers 2k-182427223225 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27759190 + ... + 27765760.

Almost surely, 2182427223225 is an apocalyptic number.

182427223225 is the 427115-th square number.

182427223225 is the 213558-th centered octagonal number.

It is an amenable number.

182427223225 is a deficient number, since it is larger than the sum of its proper divisors (62559086324).

182427223225 is an frugal number, since it uses more digits than its factorization.

182427223225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178 (or 6589 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The spelling of 182427223225 in words is "one hundred eighty-two billion, four hundred twenty-seven million, two hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 6571 32855 85423 164275 427115 1110499 2135575 5552495 27762475 43178041 215890205 561314533 1079451025 2806572665 7297088929 14032863325 36485444645 182427223225