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22256272 = 2423197307
BaseRepresentation
bin101010011100…
…1101010010000
31112212201212101
41110321222100
521144200042
62113010144
7360114043
oct124715220
945781771
1022256272
1111621515
127553954
1347c33bc
142d54c5a
151e496b7
hex1539a90

22256272 has 40 divisors (see below), whose sum is σ = 45372096. Its totient is φ = 10555776.

The previous prime is 22256251. The next prime is 22256287. The reversal of 22256272 is 27265222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22256272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72343 + ... + 72649.

Almost surely, 222256272 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 22256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048).

22256272 is an abundant number, since it is smaller than the sum of its proper divisors (23115824).

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

22256272 is a wasteful number, since it uses less digits than its factorization.

22256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 22256272 is about 4717.6553498534. The cubic root of 22256272 is about 281.2877419638.

The spelling of 22256272 in words is "twenty-two million, two hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 184 197 307 368 394 614 788 1228 1576 2456 3152 4531 4912 7061 9062 14122 18124 28244 36248 56488 60479 72496 112976 120958 241916 483832 967664 1391017 2782034 5564068 11128136 22256272