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21942336 = 2631359149
BaseRepresentation
bin101001110110…
…1000001000000
31112021210020010
41103231001000
521104123321
62102144520
7354335553
oct123550100
945253203
1021942336
1111427669
127422140
134713540
142cb269a
151dd6676
hex14ed040

21942336 has 112 divisors (see below), whose sum is σ = 64008000. Its totient is φ = 6592512.

The previous prime is 21942317. The next prime is 21942377. The reversal of 21942336 is 63324912.

It is a super-2 number, since 2×219423362 = 962932218273792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147190 + ... + 147338.

It is an arithmetic number, because the mean of its divisors is an integer number (571500).

Almost surely, 221942336 is an apocalyptic number.

21942336 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 21942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004000).

21942336 is an abundant number, since it is smaller than the sum of its proper divisors (42065664).

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

21942336 is a wasteful number, since it uses less digits than its factorization.

21942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 21942336 is about 4684.2647235185. The cubic root of 21942336 is about 279.9589055337.

The spelling of 21942336 in words is "twenty-one million, nine hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 149 156 177 192 208 236 298 312 354 416 447 472 596 624 708 767 832 894 944 1192 1248 1416 1534 1788 1888 1937 2301 2384 2496 2832 3068 3576 3776 3874 4602 4768 5664 5811 6136 7152 7748 8791 9204 9536 11328 11622 12272 14304 15496 17582 18408 23244 24544 26373 28608 30992 35164 36816 46488 49088 52746 61984 70328 73632 92976 105492 114283 123968 140656 147264 185952 210984 228566 281312 342849 371904 421968 457132 562624 685698 843936 914264 1371396 1687872 1828528 2742792 3657056 5485584 7314112 10971168 21942336