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22725144 = 2333138093
BaseRepresentation
bin101011010110…
…0001000011000
31120202120001000
41112230020120
521304201034
62131025000
7364106031
oct126541030
946676030
1022725144
1111911812
12773b160
134928940
143037a88
151edd599
hex15ac218

22725144 has 64 divisors (see below), whose sum is σ = 67989600. Its totient is φ = 6991488.

The previous prime is 22725137. The next prime is 22725161. The reversal of 22725144 is 44152722.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 6854.

Almost surely, 222725144 is an apocalyptic number.

22725144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22725144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33994800).

22725144 is an abundant number, since it is smaller than the sum of its proper divisors (45264456).

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

22725144 is a wasteful number, since it uses less digits than its factorization.

22725144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8111 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 22725144 is about 4767.0896781999. The cubic root of 22725144 is about 283.2493234976.

Adding to 22725144 its reverse (44152722), we get a palindrome (66877866).

The spelling of 22725144 in words is "twenty-two million, seven hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 8093 16186 24279 32372 48558 64744 72837 97116 105209 145674 194232 210418 218511 291348 315627 420836 437022 582696 631254 841672 874044 946881 1262508 1748088 1893762 2525016 2840643 3787524 5681286 7575048 11362572 22725144