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12258225 = 3252743181
BaseRepresentation
bin101110110000…
…101110110001
3212001210010100
4232300232301
511114230400
61114423013
7206123160
oct56605661
925053110
1012258225
116a12871
124131a69
1327026b5
1418b13d7
151122100
hexbb0bb1

12258225 has 72 divisors (see below), whose sum is σ = 25817792. Its totient is φ = 5443200.

The previous prime is 12258217. The next prime is 12258229. The reversal of 12258225 is 52285221.

It is not a de Polignac number, because 12258225 - 23 = 12258217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12258229) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 67635 + ... + 67815.

Almost surely, 212258225 is an apocalyptic number.

12258225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12258225 is an abundant number, since it is smaller than the sum of its proper divisors (13559567).

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

12258225 is a wasteful number, since it uses less digits than its factorization.

12258225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 12258225 is about 3501.1748028340. The cubic root of 12258225 is about 230.5733960378.

The spelling of 12258225 in words is "twelve million, two hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 63 75 105 129 175 181 215 225 301 315 387 525 543 645 903 905 1075 1267 1505 1575 1629 1935 2709 2715 3225 3801 4515 4525 6335 7525 7783 8145 9675 11403 13545 13575 19005 22575 23349 31675 38915 40725 54481 57015 67725 70047 95025 116745 163443 194575 272405 285075 350235 490329 583725 817215 1362025 1751175 2451645 4086075 12258225