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3230217225 = 36524212
BaseRepresentation
bin1100000010001001…
…0011010000001001
322100010020001000000
43000202103100021
523103413422400
61252310433213
7143022251634
oct30042232011
98303201000
103230217225
111408412014
12761962809
133c62bb651
14229012c1b
1513d8bb600
hexc0893409

3230217225 has 63 divisors (see below), whose sum is σ = 6019755429. Its totient is φ = 1718690400.

The previous prime is 3230217203. The next prime is 3230217259. The reversal of 3230217225 is 5227120323.

It is a happy number.

The square root of 3230217225 is 56835.

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 1849946121 + 1380271104 = 43011^2 + 37152^2 .

It is not a de Polignac number, because 3230217225 - 27 = 3230217097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7672515 + ... + 7672935.

Almost surely, 23230217225 is an apocalyptic number.

3230217225 is the 56835-th square number.

3230217225 is the 28418-th centered octagonal number.

It is an amenable number.

3230217225 is a deficient number, since it is larger than the sum of its proper divisors (2789538204).

3230217225 is an frugal number, since it uses more digits than its factorization.

3230217225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The cubic root of 3230217225 is about 1478.2364593604.

Adding to 3230217225 its reverse (5227120323), we get a palindrome (8457337548).

The spelling of 3230217225 in words is "three billion, two hundred thirty million, two hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 421 675 729 1215 1263 2025 2105 3645 3789 6075 6315 10525 11367 18225 18945 31575 34101 56835 94725 102303 170505 177241 284175 306909 511515 531723 852525 886205 1534545 1595169 2557575 2658615 4431025 4785507 7672725 7975845 13293075 14356521 23927535 39879225 43069563 71782605 119637675 129208689 215347815 358913025 646043445 1076739075 3230217225