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22732164 = 2235713257
BaseRepresentation
bin101011010110…
…1110110000100
31120202220200000
41112231312010
521304412124
62131121300
7364135350
oct126556604
946686600
1022732164
1111917014
127743230
13492bbb0
14303a460
151ee06c9
hex15add84

22732164 has 144 divisors (see below), whose sum is σ = 73627008. Its totient is φ = 5971968.

The previous prime is 22732153. The next prime is 22732219. The reversal of 22732164 is 46123722.

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

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88324 + ... + 88580.

Almost surely, 222732164 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 22732164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36813504).

22732164 is an abundant number, since it is smaller than the sum of its proper divisors (50894844).

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

22732164 is a wasteful number, since it uses less digits than its factorization.

22732164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 22732164 is about 4767.8259196409. The cubic root of 22732164 is about 283.2784865770.

Adding to 22732164 its reverse (46123722), we get a palindrome (68855886).

The spelling of 22732164 in words is "twenty-two million, seven hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 257 273 324 351 364 378 468 486 514 546 567 702 756 771 819 972 1028 1053 1092 1134 1404 1542 1638 1701 1799 2106 2268 2313 2457 3084 3159 3276 3341 3402 3598 4212 4626 4914 5397 6318 6682 6804 6939 7196 7371 9252 9828 10023 10794 12636 13364 13878 14742 16191 20046 20817 21588 22113 23387 27756 29484 30069 32382 40092 41634 44226 46774 48573 60138 62451 64764 70161 83268 88452 90207 93548 97146 120276 124902 140322 145719 180414 194292 210483 249804 270621 280644 291438 360828 420966 437157 541242 582876 631449 811863 841932 874314 1082484 1262898 1623726 1748628 1894347 2525796 3247452 3788694 5683041 7577388 11366082 22732164