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22530144 = 2537132579
BaseRepresentation
bin101010111110…
…0100001100000
31120101122112210
41111330201200
521231431034
62122522120
7362334360
oct125744140
946348483
1022530144
111179925a
127666340
13488ac60
142dc69a0
151ea08e9
hex157c860

22530144 has 96 divisors (see below), whose sum is σ = 72817920. Its totient is φ = 5939712.

The previous prime is 22530139. The next prime is 22530161. The reversal of 22530144 is 44103522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22530144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7447 + ... + 10025.

It is an arithmetic number, because the mean of its divisors is an integer number (758520).

Almost surely, 222530144 is an apocalyptic number.

22530144 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 22530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408960).

22530144 is an abundant number, since it is smaller than the sum of its proper divisors (50287776).

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

22530144 is a wasteful number, since it uses less digits than its factorization.

22530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22530144 is about 4746.5928833217. The cubic root of 22530144 is about 282.4368261380.

Adding to 22530144 its reverse (44103522), we get a palindrome (66633666).

The spelling of 22530144 in words is "twenty-two million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2579 2912 4368 5158 7737 8736 10316 15474 18053 20632 30948 33527 36106 41264 54159 61896 67054 72212 82528 100581 108318 123792 134108 144424 201162 216636 234689 247584 268216 288848 402324 433272 469378 536432 577696 704067 804648 866544 938756 1072864 1408134 1609296 1733088 1877512 2816268 3218592 3755024 5632536 7510048 11265072 22530144