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21937216 = 267232129
BaseRepresentation
bin101001110101…
…1110001000000
31112021112012111
41103223301000
521103442331
62102105104
7354314620
oct123536100
945245174
1021937216
1111423834
12741b194
134711102
142cb0880
151dd4db1
hex14ebc40

21937216 has 56 divisors (see below), whose sum is σ = 51937920. Its totient is φ = 8988672.

The previous prime is 21937213. The next prime is 21937217. The reversal of 21937216 is 61273912.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (21937213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9240 + ... + 11368.

Almost surely, 221937216 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 21937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968960).

21937216 is an abundant number, since it is smaller than the sum of its proper divisors (30000704).

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

21937216 is a wasteful number, since it uses less digits than its factorization.

21937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 21937216 is about 4683.7181811036. The cubic root of 21937216 is about 279.9371287411.

It can be divided in two parts, 2193 and 7216, that added together give a square (9409 = 972).

The spelling of 21937216 in words is "twenty-one million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2129 2576 4258 5152 8516 10304 14903 17032 29806 34064 48967 59612 68128 97934 119224 136256 195868 238448 342769 391736 476896 685538 783472 953792 1371076 1566944 2742152 3133888 5484304 10968608 21937216