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21930816 = 263176719
BaseRepresentation
bin101001110101…
…0001101000000
31112021012102110
41103222031000
521103241231
62102015320
7354260145
oct123521500
945235373
1021930816
1111419a46
127417540
13470b21b
142cac3cc
151dd3046
hex14ea340

21930816 has 56 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6879232.

The previous prime is 21930809. The next prime is 21930851. The reversal of 21930816 is 61803912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 221930816 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 21930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

21930816 is an abundant number, since it is smaller than the sum of its proper divisors (39516864).

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

21930816 is a wasteful number, since it uses less digits than its factorization.

21930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 21930816 is about 4683.0349133868. The cubic root of 21930816 is about 279.9099029849.

The spelling of 21930816 in words is "twenty-one million, nine hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 6719 13438 20157 26876 40314 53752 80628 107504 114223 161256 215008 228446 322512 342669 430016 456892 645024 685338 913784 1290048 1370676 1827568 2741352 3655136 5482704 7310272 10965408 21930816