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22540992 = 2631937167
BaseRepresentation
bin101010111111…
…1001011000000
31120102012102120
41111333023000
521232302432
62123044240
7362411115
oct125771300
946365376
1022540992
11117a6421
127670680
134892b86
142dca90c
151ea3c2c
hex157f2c0

22540992 has 112 divisors (see below), whose sum is σ = 64861440. Its totient is φ = 6884352.

The previous prime is 22540981. The next prime is 22540993. The reversal of 22540992 is 29904522.

It is not an unprimeable number, because it can be changed into a prime (22540993) by changing a digit.

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, 134893 + ... + 135059.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 222540992 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 22540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720).

22540992 is an abundant number, since it is smaller than the sum of its proper divisors (42320448).

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

22540992 is a wasteful number, since it uses less digits than its factorization.

22540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 22540992 is about 4747.7354601957. The cubic root of 22540992 is about 282.4821488707.

It can be divided in two parts, 22540 and 992, that added together give a palindrome (23532).

The spelling of 22540992 in words is "twenty-two million, five hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 167 192 222 228 296 304 334 444 456 501 592 608 668 703 888 912 1002 1184 1216 1336 1406 1776 1824 2004 2109 2368 2672 2812 3173 3552 3648 4008 4218 5344 5624 6179 6346 7104 8016 8436 9519 10688 11248 12358 12692 16032 16872 18537 19038 22496 24716 25384 32064 33744 37074 38076 44992 49432 50768 67488 74148 76152 98864 101536 117401 134976 148296 152304 197728 203072 234802 296592 304608 352203 395456 469604 593184 609216 704406 939208 1186368 1408812 1878416 2817624 3756832 5635248 7513664 11270496 22540992