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12272256 = 27335367
BaseRepresentation
bin101110110100…
…001010000000
3212002111101000
4232310022000
511120203011
61115012000
7206212113
oct56641200
925074330
1012272256
116a22367
12413a000
132708bb9
1418b657a
151126356
hexbb4280

12272256 has 128 divisors (see below), whose sum is σ = 37454400. Its totient is φ = 3953664.

The previous prime is 12272237. The next prime is 12272257. The reversal of 12272256 is 65227221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (12272257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183135 + ... + 183201.

Almost surely, 212272256 is an apocalyptic number.

12272256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727200).

12272256 is an abundant number, since it is smaller than the sum of its proper divisors (25182144).

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

12272256 is an equidigital number, since it uses as much as digits as its factorization.

12272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 12272256 is about 3503.1779857723. The cubic root of 12272256 is about 230.6613354079.

Adding to 12272256 its reverse (65227221), we get a palindrome (77499477).

The spelling of 12272256 in words is "twelve million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 67 72 96 106 108 128 134 144 159 192 201 212 216 268 288 318 384 402 424 432 477 536 576 603 636 804 848 864 954 1072 1152 1206 1272 1431 1608 1696 1728 1809 1908 2144 2412 2544 2862 3216 3392 3456 3551 3618 3816 4288 4824 5088 5724 6432 6784 7102 7236 7632 8576 9648 10176 10653 11448 12864 14204 14472 15264 19296 20352 21306 22896 25728 28408 28944 30528 31959 38592 42612 45792 56816 57888 61056 63918 77184 85224 91584 95877 113632 115776 127836 170448 183168 191754 227264 231552 255672 340896 383508 454528 511344 681792 767016 1022688 1363584 1534032 2045376 3068064 4090752 6136128 12272256