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21913216 = 271321013
BaseRepresentation
bin101001110010…
…1111010000000
31112020022021121
41103211322000
521102210331
62101402024
7354154633
oct123457200
945208247
1021913216
11114077a6
127409314
134703200
142ca5c1a
151dccc11
hex14e5e80

21913216 has 48 divisors (see below), whose sum is σ = 47318310. Its totient is φ = 10103808.

The previous prime is 21913201. The next prime is 21913237. The reversal of 21913216 is 61231912.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 18318400 = 1896^2 + 4280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21126 + ... + 22138.

Almost surely, 221913216 is an apocalyptic number.

21913216 is a gapful number since it is divisible by the number (26) 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 21913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23659155).

21913216 is an abundant number, since it is smaller than the sum of its proper divisors (25405094).

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

21913216 is a wasteful number, since it uses less digits than its factorization.

21913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1028 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 21913216 is about 4681.1554129296. The cubic root of 21913216 is about 279.8350048335.

The spelling of 21913216 in words is "twenty-one million, nine hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1013 1352 1664 2026 2704 4052 5408 8104 10816 13169 16208 21632 26338 32416 52676 64832 105352 129664 171197 210704 342394 421408 684788 842816 1369576 1685632 2739152 5478304 10956608 21913216