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22681880 = 2351353823
BaseRepresentation
bin101011010000…
…1100100011000
31120200100200122
41112201210120
521301310010
62130052412
7363535634
oct126414430
946610618
1022681880
1111892261
12771a108
134912040
143025dc4
151ed0855
hex15a1918

22681880 has 64 divisors (see below), whose sum is σ = 56064960. Its totient is φ = 8206848.

The previous prime is 22681849. The next prime is 22681931. The reversal of 22681880 is 8818622.

It is a self number, because there is not a number n which added to its sum of digits gives 22681880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27149 + ... + 27971.

It is an arithmetic number, because the mean of its divisors is an integer number (876015).

Almost surely, 222681880 is an apocalyptic number.

22681880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22681880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032480).

22681880 is an abundant number, since it is smaller than the sum of its proper divisors (33383080).

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

22681880 is a wasteful number, since it uses less digits than its factorization.

22681880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 22681880 is about 4762.5497372731. The cubic root of 22681880 is about 283.0694598240.

The spelling of 22681880 in words is "twenty-two million, six hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 823 1060 1378 1646 2120 2756 3292 3445 4115 5512 6584 6890 8230 10699 13780 16460 21398 27560 32920 42796 43619 53495 85592 87238 106990 174476 213980 218095 348952 427960 436190 567047 872380 1134094 1744760 2268188 2835235 4536376 5670470 11340940 22681880