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21913992 = 23321983193
BaseRepresentation
bin101001110011…
…0000110001000
31112020100100100
41103212012020
521102221432
62101405400
7354160122
oct123460610
945210310
1021913992
1111408341
127409860
134703679
142ca6212
151dcd07c
hex14e6188

21913992 has 96 divisors (see below), whose sum is σ = 63554400. Its totient is φ = 6801408.

The previous prime is 21913979. The next prime is 21914017. The reversal of 21913992 is 29931912.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113448 + ... + 113640.

It is an arithmetic number, because the mean of its divisors is an integer number (662025).

Almost surely, 221913992 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 21913992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31777200).

21913992 is an abundant number, since it is smaller than the sum of its proper divisors (41640408).

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

21913992 is a wasteful number, since it uses less digits than its factorization.

21913992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 21913992 is about 4681.2382977157. The cubic root of 21913992 is about 279.8383080060.

The spelling of 21913992 in words is "twenty-one million, nine hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 193 228 249 332 342 386 456 498 579 664 684 747 772 996 1158 1368 1494 1544 1577 1737 1992 2316 2988 3154 3474 3667 4632 4731 5976 6308 6948 7334 9462 11001 12616 13896 14193 14668 16019 18924 22002 28386 29336 32038 33003 37848 44004 48057 56772 64076 66006 88008 96114 113544 128152 132012 144171 192228 264024 288342 304361 384456 576684 608722 913083 1153368 1217444 1826166 2434888 2739249 3652332 5478498 7304664 10956996 21913992