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433264225 = 522321812
BaseRepresentation
bin11001110100110…
…001011001100001
31010012021002210011
4121310301121201
51341403423400
6110554204521
713510454002
oct3164613141
91105232704
10433264225
11202625909
12101123741
136b9ba284
14417831a9
15280848ba
hex19d31661

433264225 has 27 divisors (see below), whose sum is σ = 564741849. Its totient is φ = 329709600.

The previous prime is 433264217. The next prime is 433264229. The reversal of 433264225 is 522462334.

The square root of 433264225 is 20815.

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 232532001 + 200732224 = 15249^2 + 14168^2 .

It is not a de Polignac number, because 433264225 - 23 = 433264217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (433264229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2393635 + ... + 2393815.

Almost surely, 2433264225 is an apocalyptic number.

433264225 is the 20815-th square number.

433264225 is the 10408-th centered octagonal number.

It is an amenable number.

433264225 is a deficient number, since it is larger than the sum of its proper divisors (131477624).

433264225 is an equidigital number, since it uses as much as digits as its factorization.

433264225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The cubic root of 433264225 is about 756.6893301403.

The spelling of 433264225 in words is "four hundred thirty-three million, two hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 181 529 575 905 2645 4163 4525 13225 20815 32761 95749 104075 163805 478745 753503 819025 2393725 3767515 17330569 18837575 86652845 433264225