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224352915912225 = 32529985612
BaseRepresentation
bin110011000000110000111011…
…110110110111011000100001
31002102100221002110100011010100
4303000300323312313120201
5213401244232433142400
62113054150130253013
765153651255163612
oct6300607366673041
91072327073304110
10224352915912225
11655385a0189311
12211b5121727169
13982550a08c2b9
143d58a4c00bc09
151ae0e02e18100
hexcc0c3bdb7621

224352915912225 has 27 divisors (see below), whose sum is σ = 401841402921049. Its totient is φ = 119654768659200.

The previous prime is 224352915912193. The next prime is 224352915912241. The reversal of 224352915912225 is 522219519253422.

The square root of 224352915912225 is 14978415.

It is a perfect power (a square), and thus also a powerful number.

224352915912225 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 2 + 9 + 1 + 591 + 22 + 25 = 666.

224352915912225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49027457845521 + 175325458066704 = 7001961^2 + 13241052^2 .

It is not a de Polignac number, because 224352915912225 - 25 = 224352915912193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224176945 + ... + 225175505.

Almost surely, 2224352915912225 is an apocalyptic number.

224352915912225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224352915912225 is the 14978415-th square number.

224352915912225 is the 7489208-th centered octagonal number.

It is an amenable number.

224352915912225 is a deficient number, since it is larger than the sum of its proper divisors (177488487008824).

224352915912225 is an frugal number, since it uses more digits than its factorization.

224352915912225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997138 (or 998569 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 224352915912225 in words is "two hundred twenty-four trillion, three hundred fifty-two billion, nine hundred fifteen million, nine hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 998561 2995683 4992805 8987049 14978415 24964025 44935245 74892075 224676225 997124070721 2991372212163 4985620353605 8974116636489 14956861060815 24928101768025 44870583182445 74784305304075 224352915912225