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21974336 = 2617191063
BaseRepresentation
bin101001111010…
…0110101000000
31112100102010022
41103310311000
521111134321
62102553012
7354531056
oct123646500
945312108
1021974336
111144970a
127438768
134724c87
142cc01d6
151de0dab
hex14f4d40

21974336 has 56 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 9787392.

The previous prime is 21974321. The next prime is 21974357. The reversal of 21974336 is 63347912.

It is a junction number, because it is equal to n+sod(n) for n = 21974296 and 21974305.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20141 + ... + 21203.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 221974336 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 21974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

21974336 is an abundant number, since it is smaller than the sum of its proper divisors (26671744).

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

21974336 is a wasteful number, since it uses less digits than its factorization.

21974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 21974336 is about 4687.6791699091. The cubic root of 21974336 is about 280.0949337955.

The spelling of 21974336 in words is "twenty-one million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1063 1088 1216 1292 2126 2584 4252 5168 8504 10336 17008 18071 20197 20672 34016 36142 40394 68032 72284 80788 144568 161576 289136 323152 343349 578272 646304 686698 1156544 1292608 1373396 2746792 5493584 10987168 21974336