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225570361 = 2326532
BaseRepresentation
bin11010111000111…
…10111000111001
3120201110011100211
431130132320321
5430221222421
634214431121
75406213352
oct1534367071
9521404324
10225570361
11106368395
12636624a1
133796acb3
1421d5ad29
1514c0a9e1
hexd71ee39

225570361 has 9 divisors (see below), whose sum is σ = 236165839. Its totient is φ = 215432536.

The previous prime is 225570347. The next prime is 225570379. The reversal of 225570361 is 163075522.

The square root of 225570361 is 15019.

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., 52490025 + 173080336 = 7245^2 + 13156^2 .

It is not a de Polignac number, because 225570361 - 29 = 225569849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225570391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 345111 + ... + 345763.

Almost surely, 2225570361 is an apocalyptic number.

225570361 is the 15019-th square number.

225570361 is the 7510-th centered octagonal number.

It is an amenable number.

225570361 is a deficient number, since it is larger than the sum of its proper divisors (10595478).

225570361 is an frugal number, since it uses more digits than its factorization.

225570361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The cubic root of 225570361 is about 608.7336993585.

The spelling of 225570361 in words is "two hundred twenty-five million, five hundred seventy thousand, three hundred sixty-one".

Divisors: 1 23 529 653 15019 345437 426409 9807407 225570361