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452200225 = 5242532
BaseRepresentation
bin11010111101000…
…000011100100001
31011111220011002111
4122331000130201
51411230401400
6112512115321
714130432001
oct3275003441
91144804074
10452200225
112122897a4
12107535b41
13728ba2c9
14440b2001
1529a753ba
hex1af40721

452200225 has 9 divisors (see below), whose sum is σ = 560860153. Its totient is φ = 361675120.

The previous prime is 452200211. The next prime is 452200241. The reversal of 452200225 is 522002254.

It is a happy number.

The square root of 452200225 is 21265.

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 144408289 + 307791936 = 12017^2 + 17544^2 .

It is not a de Polignac number, because 452200225 - 27 = 452200097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 452200196 and 452200205.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 104199 + ... + 108451.

Almost surely, 2452200225 is an apocalyptic number.

452200225 is the 21265-th square number.

452200225 is the 10633-rd centered octagonal number.

It is an amenable number.

452200225 is a deficient number, since it is larger than the sum of its proper divisors (108659928).

452200225 is an frugal number, since it uses more digits than its factorization.

452200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The cubic root of 452200225 is about 767.5563306807.

Multiplying 452200225 by its product of nonzero digits (1600), we get a square (723520360000 = 8506002).

Adding to 452200225 its reverse (522002254), we get a palindrome (974202479).

The spelling of 452200225 in words is "four hundred fifty-two million, two hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 4253 21265 106325 18088009 90440045 452200225