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22268868 = 2232989719
BaseRepresentation
bin101010011110…
…0101111000100
31112220101010220
41110330233010
521200100433
62113144340
7360165546
oct124745704
945811126
1022268868
111162aa26
12755b0b0
1347c905b
142d59696
151e4d2b3
hex153cbc4

22268868 has 48 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 7076608.

The previous prime is 22268867. The next prime is 22268941. The reversal of 22268868 is 86886222.

It is not an unprimeable number, because it can be changed into a prime (22268867) by changing a digit.

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, 30613 + ... + 31331.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 222268868 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 22268868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

22268868 is an abundant number, since it is smaller than the sum of its proper divisors (32163132).

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

22268868 is a wasteful number, since it uses less digits than its factorization.

22268868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 22268868 is about 4718.9901462071. The cubic root of 22268868 is about 281.3407971535.

The spelling of 22268868 in words is "twenty-two million, two hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 719 1068 1438 2157 2581 2876 4314 5162 7743 8628 10324 15486 20851 30972 41702 62553 63991 83404 125106 127982 191973 250212 255964 383946 767892 1855739 3711478 5567217 7422956 11134434 22268868