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225144465 = 35721323563
BaseRepresentation
bin11010110101101…
…10111010010001
3120200122112010220
431122312322101
5430114110330
634201343253
75402460600
oct1532667221
9520575126
10225144465
111060a7407
1263497b29
133784c1a0
1421c89a37
1514b74710
hexd6b6e91

225144465 has 48 divisors (see below), whose sum is σ = 451297728. Its totient is φ = 95001984.

The previous prime is 225144383. The next prime is 225144467. The reversal of 225144465 is 564441522.

It is not a de Polignac number, because 225144465 - 29 = 225143953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225144467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2227 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (9402036).

Almost surely, 2225144465 is an apocalyptic number.

It is an amenable number.

225144465 is an abundant number, since it is smaller than the sum of its proper divisors (226153263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225144465 is a wasteful number, since it uses less digits than its factorization.

225144465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23598 (or 23591 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 225144465 is about 15004.8147272800. The cubic root of 225144465 is about 608.3503443461.

Adding to 225144465 its reverse (564441522), we get a palindrome (789585987).

The spelling of 225144465 in words is "two hundred twenty-five million, one hundred forty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 23563 70689 117815 164941 306319 353445 494823 824705 918957 1154587 1531595 2144233 2474115 3463761 4594785 5772935 6432699 10721165 15009631 17318805 32163495 45028893 75048155 225144465