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22049118 = 2337213641
BaseRepresentation
bin101010000011…
…1000101011110
31112111012201000
41110013011132
521121032433
62104331130
7355262100
oct124070536
945435630
1022049118
111149a913
127473aa6
134750020
142cdd570
151e08113
hex150715e

22049118 has 96 divisors (see below), whose sum is σ = 61477920. Its totient is φ = 5806080.

The previous prime is 22049117. The next prime is 22049141. The reversal of 22049118 is 81194022.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 22049091 and 22049100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22049117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34078 + ... + 34718.

It is an arithmetic number, because the mean of its divisors is an integer number (640395).

Almost surely, 222049118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22049118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30738960).

22049118 is an abundant number, since it is smaller than the sum of its proper divisors (39428802).

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

22049118 is a wasteful number, since it uses less digits than its factorization.

22049118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 22049118 is about 4695.6488369553. The cubic root of 22049118 is about 280.4123092297.

The spelling of 22049118 in words is "twenty-two million, forty-nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 641 702 819 882 1274 1282 1323 1638 1911 1923 2457 2646 3822 3846 4487 4914 5733 5769 8333 8974 11466 11538 13461 16666 17199 17307 24999 26922 31409 34398 34614 40383 49998 58331 62818 74997 80766 94227 116662 121149 149994 174993 188454 224991 242298 282681 349986 408317 449982 524979 565362 816634 848043 1049958 1224951 1574937 1696086 2449902 3149874 3674853 7349706 11024559 22049118