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165430525 = 5213521977
BaseRepresentation
bin10011101110001…
…00010011111101
3102112021202000111
421313010103331
5314322234100
624225430021
74046064511
oct1167042375
9375252014
10165430525
1185421447
124749b311
13283724b0
1417d84141
15e7cb6ba
hex9dc44fd

165430525 has 24 divisors (see below), whose sum is σ = 221563944. Its totient is φ = 121804800.

The previous prime is 165430487. The next prime is 165430567. The reversal of 165430525 is 525034561.

It can be written as a sum of positive squares in 12 ways, for example, as 49028004 + 116402521 = 7002^2 + 10789^2 .

It is not a de Polignac number, because 165430525 - 211 = 165428477 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168837 + ... + 169813.

It is an arithmetic number, because the mean of its divisors is an integer number (9231831).

Almost surely, 2165430525 is an apocalyptic number.

It is an amenable number.

165430525 is a deficient number, since it is larger than the sum of its proper divisors (56133419).

165430525 is a wasteful number, since it uses less digits than its factorization.

165430525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 165430525 is about 12861.9798242728. The cubic root of 165430525 is about 548.9572806045.

The spelling of 165430525 in words is "one hundred sixty-five million, four hundred thirty thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 521 977 2605 4885 6773 12701 13025 24425 33865 63505 169325 317525 509017 2545085 6617221 12725425 33086105 165430525