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21995616 = 2531931389
BaseRepresentation
bin101001111101…
…0000001100000
31112101111022110
41103322001200
521112324431
62103235320
7354650106
oct123720140
945344273
1021995616
11114636a5
127448b40
134731876
142cc7c76
151de7346
hex14fa060

21995616 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6704640.

The previous prime is 21995599. The next prime is 21995621. The reversal of 21995616 is 61659912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 56350 + ... + 56738.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 221995616 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 21995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

21995616 is an abundant number, since it is smaller than the sum of its proper divisors (40903584).

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

21995616 is a wasteful number, since it uses less digits than its factorization.

21995616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 21995616 is about 4689.9484005690. The cubic root of 21995616 is about 280.1853194951.

The spelling of 21995616 in words is "twenty-one million, nine hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 389 456 496 589 608 744 778 912 992 1167 1178 1488 1556 1767 1824 2334 2356 2976 3112 3534 4668 4712 6224 7068 7391 9336 9424 12059 12448 14136 14782 18672 18848 22173 24118 28272 29564 36177 37344 44346 48236 56544 59128 72354 88692 96472 118256 144708 177384 192944 229121 236512 289416 354768 385888 458242 578832 687363 709536 916484 1157664 1374726 1832968 2749452 3665936 5498904 7331872 10997808 21995616