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239166225 = 325210312
BaseRepresentation
bin11100100000101…
…10001100010001
3121200000220101100
432100112030101
5442211304400
635422055013
75632610424
oct1620261421
9550026340
10239166225
11113004141
126811a469
133a71b49c
1423a999bb
1515ee4100
hexe416311

239166225 has 27 divisors (see below), whose sum is σ = 428789179. Its totient is φ = 127431600.

The previous prime is 239166223. The next prime is 239166247. The reversal of 239166225 is 522661932.

The square root of 239166225 is 15465.

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

239166225 is a `hidden beast` number, since 23 + 9 + 1 + 6 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86099841 + 153066384 = 9279^2 + 12372^2 .

It is not a de Polignac number, because 239166225 - 21 = 239166223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 239166225.

It is not an unprimeable number, because it can be changed into a prime (239166223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231460 + ... + 232490.

Almost surely, 2239166225 is an apocalyptic number.

239166225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

239166225 is the 15465-th square number.

239166225 is the 7733-rd centered octagonal number.

It is an amenable number.

239166225 is a deficient number, since it is larger than the sum of its proper divisors (189622954).

239166225 is an equidigital number, since it uses as much as digits as its factorization.

239166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1039 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 239166225 is about 620.7260182161.

Multiplying 239166225 by its sum of digits (36), we get a square (8609984100 = 927902).

It can be divided in two parts, 239 and 166225, that added together give a square (166464 = 4082).

The spelling of 239166225 in words is "two hundred thirty-nine million, one hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1031 3093 5155 9279 15465 25775 46395 77325 231975 1062961 3188883 5314805 9566649 15944415 26574025 47833245 79722075 239166225