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22040560 = 2451372011
BaseRepresentation
bin101010000010…
…0111111110000
31112110202222001
41110010333300
521120244220
62104223344
7355225123
oct124047760
945422861
1022040560
1111494443
12746ab54
134749169
142cda3ba
151e0580a
hex1504ff0

22040560 has 40 divisors (see below), whose sum is σ = 51644016. Its totient is φ = 8747520.

The previous prime is 22040533. The next prime is 22040569. The reversal of 22040560 is 6504022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×220405602 = 971572570227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9955 + ... + 11965.

Almost surely, 222040560 is an apocalyptic number.

22040560 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 22040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25822008).

22040560 is an abundant number, since it is smaller than the sum of its proper divisors (29603456).

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

22040560 is a wasteful number, since it uses less digits than its factorization.

22040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 22040560 is about 4694.7374793486. The cubic root of 22040560 is about 280.3760254037.

Adding to 22040560 its reverse (6504022), we get a palindrome (28544582).

It can be divided in two parts, 220 and 40560, that multiplied together give a triangular number (8923200 = T4224).

The spelling of 22040560 in words is "twenty-two million, forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2011 2192 2740 4022 5480 8044 10055 10960 16088 20110 32176 40220 80440 160880 275507 551014 1102028 1377535 2204056 2755070 4408112 5510140 11020280 22040560