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21522996 = 223611261
BaseRepresentation
bin101001000011…
…0101000110100
31111111111000000
41102012220310
521002213441
62045151300
7350641155
oct122065064
944444000
1021522996
1111170600
12725b530
1345c7701
142c0392c
151d522b6
hex1486a34

21522996 has 126 divisors (see below), whose sum is σ = 63090146. Its totient is φ = 6415200.

The previous prime is 21522989. The next prime is 21523001. The reversal of 21522996 is 69922512.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 8820900 = 3564^2 + 2970^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 21522996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352806 + ... + 352866.

Almost surely, 221522996 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 21522996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545073).

21522996 is an abundant number, since it is smaller than the sum of its proper divisors (41567150).

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

21522996 is a wasteful number, since it uses less digits than its factorization.

21522996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 21522996 is about 4639.2883074886. The cubic root of 21522996 is about 278.1639906789.

The spelling of 21522996 in words is "twenty-one million, five hundred twenty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 81 99 108 121 122 132 162 183 198 242 243 244 297 324 363 366 396 484 486 549 594 671 726 729 732 891 972 1089 1098 1188 1342 1452 1458 1647 1782 2013 2178 2196 2673 2684 2916 3267 3294 3564 4026 4356 4941 5346 6039 6534 6588 7381 8019 8052 9801 9882 10692 12078 13068 14762 14823 16038 18117 19602 19764 22143 24156 29403 29524 29646 32076 36234 39204 44286 44469 54351 58806 59292 66429 72468 88209 88572 88938 108702 117612 132858 163053 176418 177876 199287 217404 265716 326106 352836 398574 489159 597861 652212 797148 978318 1195722 1793583 1956636 2391444 3587166 5380749 7174332 10761498 21522996