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22027968 = 2632167229
BaseRepresentation
bin101010000000…
…1111011000000
31112110010200200
41110001323000
521114343333
62104045200
7355143324
oct124017300
945403620
1022027968
1111485a36
127463800
134743501
142cd5984
151e01c13
hex1501ec0

22027968 has 84 divisors (see below), whose sum is σ = 63794640. Its totient is φ = 7266816.

The previous prime is 22027939. The next prime is 22027981. The reversal of 22027968 is 86972022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96078 + ... + 96306.

It is an arithmetic number, because the mean of its divisors is an integer number (759460).

Almost surely, 222027968 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 22027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31897320).

22027968 is an abundant number, since it is smaller than the sum of its proper divisors (41766672).

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

22027968 is a wasteful number, since it uses less digits than its factorization.

22027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 22027968 is about 4693.3962117000. The cubic root of 22027968 is about 280.3226213241.

The spelling of 22027968 in words is "twenty-two million, twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 229 288 334 458 501 576 668 687 916 1002 1336 1374 1503 1832 2004 2061 2672 2748 3006 3664 4008 4122 5344 5496 6012 7328 8016 8244 10688 10992 12024 14656 16032 16488 21984 24048 32064 32976 38243 43968 48096 65952 76486 96192 114729 131904 152972 229458 305944 344187 458916 611888 688374 917832 1223776 1376748 1835664 2447552 2753496 3671328 5506992 7342656 11013984 22027968