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12273216 = 26397659
BaseRepresentation
bin101110110100…
…011001000000
3212002112200120
4232310121000
511120220331
61115020240
7206214654
oct56643100
925075616
1012273216
116a2305a
12413a680
132709477
1418b6a64
151126796
hexbb4640

12273216 has 56 divisors (see below), whose sum is σ = 32857440. Its totient is φ = 4042752.

The previous prime is 12273199. The next prime is 12273223. The reversal of 12273216 is 61237221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18295 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (586740).

Almost surely, 212273216 is an apocalyptic number.

12273216 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 12273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428720).

12273216 is an abundant number, since it is smaller than the sum of its proper divisors (20584224).

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

12273216 is an equidigital number, since it uses as much as digits as its factorization.

12273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 12273216 is about 3503.3150015378. The cubic root of 12273216 is about 230.6673497628.

The spelling of 12273216 in words is "twelve million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 659 776 1164 1318 1552 1977 2328 2636 3104 3954 4656 5272 6208 7908 9312 10544 15816 18624 21088 31632 42176 63264 63923 126528 127846 191769 255692 383538 511384 767076 1022768 1534152 2045536 3068304 4091072 6136608 12273216