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21934944 = 253276163
BaseRepresentation
bin101001110101…
…1001101100000
31112021102002100
41103223031200
521103404234
62102050400
7354305163
oct123531540
945242070
1021934944
1111422059
127419a00
134710075
142cadada
151dd4399
hex14eb360

21934944 has 36 divisors (see below), whose sum is σ = 62378316. Its totient is φ = 7311552.

The previous prime is 21934943. The next prime is 21934963. The reversal of 21934944 is 44943912.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×219349442 = 962283536566272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21934899 and 21934908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21934943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37794 + ... + 38369.

It is an arithmetic number, because the mean of its divisors is an integer number (1732731).

Almost surely, 221934944 is an apocalyptic number.

21934944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21934944 is an abundant number, since it is smaller than the sum of its proper divisors (40443372).

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

21934944 is a wasteful number, since it uses less digits than its factorization.

21934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76179 (or 76168 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21934944 is about 4683.4756324764. The cubic root of 21934944 is about 279.9274642040.

The spelling of 21934944 in words is "twenty-one million, nine hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 76163 152326 228489 304652 456978 609304 685467 913956 1218608 1370934 1827912 2437216 2741868 3655824 5483736 7311648 10967472 21934944