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21233628 = 22321359769
BaseRepresentation
bin101000011111…
…1111111011100
31110221210001200
41100333333130
520413434003
62035035500
7345324423
oct120777734
943853050
1021233628
1110a93159
12713bb90
134525aa0
142b6a2ba
151ce66a3
hex143ffdc

21233628 has 72 divisors (see below), whose sum is σ = 58858800. Its totient is φ = 6414336.

The previous prime is 21233627. The next prime is 21233633. The reversal of 21233628 is 82633212.

21233628 is a `hidden beast` number, since 2 + 1 + 2 + 33 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27228 + ... + 27996.

Almost surely, 221233628 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 21233628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29429400).

21233628 is an abundant number, since it is smaller than the sum of its proper divisors (37625172).

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

21233628 is a wasteful number, since it uses less digits than its factorization.

21233628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21233628 is about 4607.9960937483. The cubic root of 21233628 is about 276.9117610048.

The spelling of 21233628 in words is "twenty-one million, two hundred thirty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 769 1062 1534 1538 2124 2301 2307 3068 3076 4602 4614 6903 6921 9204 9228 9997 13806 13842 19994 27612 27684 29991 39988 45371 59982 89973 90742 119964 136113 179946 181484 272226 359892 408339 544452 589823 816678 1179646 1633356 1769469 2359292 3538938 5308407 7077876 10616814 21233628