Search a number
-
+
22530760 = 2357671201
BaseRepresentation
bin101010111110…
…0101011001000
31120101200101121
41111330223020
521231441020
62122525024
7362336230
oct125745310
946350347
1022530760
111179976a
127666774
13488b315
142dc6cc0
151ea0baa
hex157cac8

22530760 has 64 divisors (see below), whose sum is σ = 58849920. Its totient is φ = 7603200.

The previous prime is 22530757. The next prime is 22530803. The reversal of 22530760 is 6703522.

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 15 ways as a sum of consecutive naturals, for example, 18160 + ... + 19360.

It is an arithmetic number, because the mean of its divisors is an integer number (919530).

Almost surely, 222530760 is an apocalyptic number.

22530760 is a gapful number since it is divisible by the number (20) 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 22530760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29424960).

22530760 is an abundant number, since it is smaller than the sum of its proper divisors (36319160).

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

22530760 is a wasteful number, since it uses less digits than its factorization.

22530760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 22530760 is about 4746.6577715272. The cubic root of 22530760 is about 282.4394001636.

The spelling of 22530760 in words is "twenty-two million, five hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1201 1340 1876 2345 2402 2680 3752 4690 4804 6005 8407 9380 9608 12010 16814 18760 24020 33628 42035 48040 67256 80467 84070 160934 168140 321868 336280 402335 563269 643736 804670 1126538 1609340 2253076 2816345 3218680 4506152 5632690 11265380 22530760