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22255212 = 223735407
BaseRepresentation
bin101010011100…
…1011001101100
31112212200102010
41110321121230
521144131322
62113001220
7360111000
oct124713154
945780363
1022255212
1111620741
127553210
1347c2a85
142d54700
151e4920c
hex153966c

22255212 has 48 divisors (see below), whose sum is σ = 60569600. Its totient is φ = 6357456.

The previous prime is 22255199. The next prime is 22255229. The reversal of 22255212 is 21255222.

It is a super-2 number, since 2×222552122 = 990588922329888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413 + ... + 6819.

Almost surely, 222255212 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 22255212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30284800).

22255212 is an abundant number, since it is smaller than the sum of its proper divisors (38314388).

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

22255212 is a wasteful number, since it uses less digits than its factorization.

22255212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5419 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 22255212 is about 4717.5430045735. The cubic root of 22255212 is about 281.2832762603.

The spelling of 22255212 in words is "twenty-two million, two hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 5407 10814 16221 21628 32442 37849 64884 75698 113547 151396 227094 264943 454188 529886 794829 1059772 1589658 1854601 3179316 3709202 5563803 7418404 11127606 22255212