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21522432132 = 2233313787809
BaseRepresentation
bin10100000010110101…
…100100000010000100
32001112221020211112000
4110002311210002010
5323034220312012
613515352225300
71361226440355
oct240265440204
961487224460
1021522432132
1191449408a3
12420799b230
13204cc22356
141082587d2c
1585e746ddc
hex502d64084

21522432132 has 96 divisors (see below), whose sum is σ = 56117577600. Its totient is φ = 7133308416.

The previous prime is 21522432037. The next prime is 21522432133. The reversal of 21522432132 is 23123422512.

21522432132 is a `hidden beast` number, since 2 + 1 + 522 + 4 + 3 + 2 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21522432096 and 21522432105.

It is not an unprimeable number, because it can be changed into a prime (21522432133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26603344 + ... + 26604152.

It is an arithmetic number, because the mean of its divisors is an integer number (584558100).

Almost surely, 221522432132 is an apocalyptic number.

It is an amenable number.

21522432132 is an abundant number, since it is smaller than the sum of its proper divisors (34595145468).

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

21522432132 is a wasteful number, since it uses less digits than its factorization.

21522432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 21522432132 its reverse (23123422512), we get a palindrome (44645854644).

The spelling of 21522432132 in words is "twenty-one billion, five hundred twenty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 313 626 787 809 939 1252 1574 1618 1878 2361 2427 2817 3148 3236 3756 4722 4854 5634 7083 7281 8451 9444 9708 11268 14166 14562 16902 21249 21843 28332 29124 33804 42498 43686 84996 87372 246331 253217 492662 506434 636683 738993 759651 985324 1012868 1273366 1477986 1519302 1910049 2216979 2278953 2546732 2955972 3038604 3820098 4433958 4557906 5730147 6650937 6836859 7640196 8867916 9115812 11460294 13301874 13673718 17190441 22920588 26603748 27347436 34380882 68761764 199281779 398563558 597845337 797127116 1195690674 1793536011 2391381348 3587072022 5380608033 7174144044 10761216066 21522432132