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12422272 = 27107907
BaseRepresentation
bin101111011000…
…110010000000
3212101010011011
4233120302000
511140003042
61122130304
7210405352
oct57306200
925333134
1012422272
117015045
1241b0994
13275c275
1419150d2
151155a17
hexbd8c80

12422272 has 32 divisors (see below), whose sum is σ = 25006320. Its totient is φ = 6146304.

The previous prime is 12422243. The next prime is 12422281. The reversal of 12422272 is 27222421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13243 + ... + 14149.

Almost surely, 212422272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503160).

12422272 is an abundant number, since it is smaller than the sum of its proper divisors (12584048).

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

12422272 is an equidigital number, since it uses as much as digits as its factorization.

12422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 12422272 is about 3524.5243650740. The cubic root of 12422272 is about 231.5973992547.

Adding to 12422272 its reverse (27222421), we get a palindrome (39644693).

The spelling of 12422272 in words is "twelve million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 907 1712 1814 3424 3628 6848 7256 13696 14512 29024 58048 97049 116096 194098 388196 776392 1552784 3105568 6211136 12422272