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21894264 = 2332743441
BaseRepresentation
bin101001110000…
…1010001111000
31112012100021200
41103201101320
521101104024
62101134200
7354045450
oct123412170
945170250
1021894264
11113a4537
1273ba360
1346c76b2
142c9cd60
151dc72c9
hex14e1478

21894264 has 48 divisors (see below), whose sum is σ = 67769520. Its totient is φ = 6255360.

The previous prime is 21894259. The next prime is 21894281. The reversal of 21894264 is 46249812.

It is a super-2 number, since 2×218942642 = 958717592203392, which contains 22 as substring.

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 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 11 ways as a sum of consecutive naturals, for example, 21217 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (1411865).

Almost surely, 221894264 is an apocalyptic number.

21894264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21894264 is an abundant number, since it is smaller than the sum of its proper divisors (45875256).

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

21894264 is a wasteful number, since it uses less digits than its factorization.

21894264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43460 (or 43453 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 21894264 is about 4679.1306884933. The cubic root of 21894264 is about 279.7543082854.

The spelling of 21894264 in words is "twenty-one million, eight hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 43441 86882 130323 173764 260646 304087 347528 390969 521292 608174 781938 912261 1042584 1216348 1563876 1824522 2432696 2736783 3127752 3649044 5473566 7298088 10947132 21894264