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21933980 = 22519197293
BaseRepresentation
bin101001110101…
…0111110011100
31112021100202122
41103222332130
521103341410
62102042112
7354302315
oct123527634
945240678
1021933980
1111421362
127419338
13470c7b3
142cad60c
151dd3e55
hex14eaf9c

21933980 has 48 divisors (see below), whose sum is σ = 48898080. Its totient is φ = 8241408.

The previous prime is 21933971. The next prime is 21934013. The reversal of 21933980 is 8933912.

It is a self number, because there is not a number n which added to its sum of digits gives 21933980.

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, 74714 + ... + 75006.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 221933980 is an apocalyptic number.

21933980 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 21933980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449040).

21933980 is an abundant number, since it is smaller than the sum of its proper divisors (26964100).

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

21933980 is a wasteful number, since it uses less digits than its factorization.

21933980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 21933980 is about 4683.3727163231. The cubic root of 21933980 is about 279.9233633800.

The spelling of 21933980 in words is "twenty-one million, nine hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 197 293 380 394 586 788 985 1172 1465 1970 2930 3743 3940 5567 5860 7486 11134 14972 18715 22268 27835 37430 55670 57721 74860 111340 115442 230884 288605 577210 1096699 1154420 2193398 4386796 5483495 10966990 21933980