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365383225 = 5238232
BaseRepresentation
bin10101110001110…
…100111000111001
3221110112101120001
4111301310320321
51222014230400
6100131233001
712024464134
oct2561647071
9843471501
10365383225
11178281909
12a2448761
135a9110bc
143675321b
1522126a6a
hex15c74e39

365383225 has 9 divisors (see below), whose sum is σ = 453193743. Its totient is φ = 292230120.

The previous prime is 365383223. The next prime is 365383231. The reversal of 365383225 is 522383563.

The square root of 365383225 is 19115.

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., 131537961 + 233845264 = 11469^2 + 15292^2 .

It is not a de Polignac number, because 365383225 - 21 = 365383223 is a prime.

It is a super-2 number, since 2×3653832252 = 267009802222801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (365383223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93664 + ... + 97486.

Almost surely, 2365383225 is an apocalyptic number.

365383225 is the 19115-th square number.

365383225 is the 9558-th centered octagonal number.

It is an amenable number.

365383225 is a deficient number, since it is larger than the sum of its proper divisors (87810518).

365383225 is an frugal number, since it uses more digits than its factorization.

365383225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 3828 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The cubic root of 365383225 is about 714.9069760146.

Multiplying 365383225 by its product of digits (129600), we get a square (47353665960000 = 68814002).

The spelling of 365383225 in words is "three hundred sixty-five million, three hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 3823 19115 95575 14615329 73076645 365383225