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89965225 = 52722712
BaseRepresentation
bin1010101110011…
…00001010101001
320021021201002101
411113030022221
5141012341400
612532133401
72141456200
oct527141251
9207251071
1089965225
1146868229
1226167261
131583c17c
14bd3c237
157d7156a
hex55cc2a9

89965225 has 27 divisors (see below), whose sum is σ = 130250871. Its totient is φ = 61462800.

The previous prime is 89965223. The next prime is 89965231. The reversal of 89965225 is 52256998.

It is a happy number.

The square root of 89965225 is 9485.

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., 32387481 + 57577744 = 5691^2 + 7588^2 .

It is not a de Polignac number, because 89965225 - 21 = 89965223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89965223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331840 + ... + 332110.

Almost surely, 289965225 is an apocalyptic number.

89965225 is the 9485-th square number.

89965225 is the 4743-rd centered octagonal number.

It is an amenable number.

89965225 is a deficient number, since it is larger than the sum of its proper divisors (40285646).

89965225 is an equidigital number, since it uses as much as digits as its factorization.

89965225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The cubic root of 89965225 is about 448.0827483868.

The spelling of 89965225 in words is "eighty-nine million, nine hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 271 1225 1355 1897 6775 9485 13279 47425 66395 73441 331975 367205 514087 1836025 2570435 3598609 12852175 17993045 89965225