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12223392 = 253157811
BaseRepresentation
bin101110101000…
…001110100000
3212000000100020
4232220032200
511112122032
61113553440
7205616466
oct56501640
925000306
1012223392
116999685
124115880
1326bc89c
1418a2836
151116b2c
hexba83a0

12223392 has 48 divisors (see below), whose sum is σ = 32330592. Its totient is φ = 4043520.

The previous prime is 12223381. The next prime is 12223399. The reversal of 12223392 is 29332221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122233922 = 298822623971328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12223399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14667 + ... + 15477.

It is an arithmetic number, because the mean of its divisors is an integer number (673554).

Almost surely, 212223392 is an apocalyptic number.

12223392 is a gapful number since it is divisible by the number (12) 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 12223392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165296).

12223392 is an abundant number, since it is smaller than the sum of its proper divisors (20107200).

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

12223392 is a wasteful number, since it uses less digits than its factorization.

12223392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 12223392 is about 3496.1967908000. The cubic root of 12223392 is about 230.3547895473.

The spelling of 12223392 in words is "twelve million, two hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 811 942 1256 1622 1884 2433 2512 3244 3768 4866 5024 6488 7536 9732 12976 15072 19464 25952 38928 77856 127327 254654 381981 509308 763962 1018616 1527924 2037232 3055848 4074464 6111696 12223392