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21892164 = 2237793299
BaseRepresentation
bin101001110000…
…0110001000100
31112012020101220
41103200301010
521101022124
62101120340
7354036360
oct123406104
945166356
1021892164
11113a29a8
1273b90b0
1346c6758
142c9c2a0
151dc6879
hex14e0c44

21892164 has 48 divisors (see below), whose sum is σ = 59136000. Its totient is φ = 6173856.

The previous prime is 21892153. The next prime is 21892201. The reversal of 21892164 is 46129812.

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, 4987 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (1232000).

Almost surely, 221892164 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 21892164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568000).

21892164 is an abundant number, since it is smaller than the sum of its proper divisors (37243836).

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

21892164 is a wasteful number, since it uses less digits than its factorization.

21892164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 21892164 is about 4678.9062824553. The cubic root of 21892164 is about 279.7453637382.

The spelling of 21892164 in words is "twenty-one million, eight hundred ninety-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3299 3318 6598 6636 9897 13196 19794 23093 39588 46186 69279 92372 138558 260621 277116 521242 781863 1042484 1563726 1824347 3127452 3648694 5473041 7297388 10946082 21892164