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22940560 = 2451392063
BaseRepresentation
bin101011110000…
…0101110010000
31121011111112101
41113200232100
521333044220
62135410144
7365664046
oct127405620
947144471
1022940560
1111a49645
127823954
1349a29c6
143092396
15203230a
hex15e0b90

22940560 has 40 divisors (see below), whose sum is σ = 53746560. Its totient is φ = 9105792.

The previous prime is 22940539. The next prime is 22940563. The reversal of 22940560 is 6504922.

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

It is a super-2 number, since 2×229405602 = 1052538586227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22940563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10089 + ... + 12151.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 222940560 is an apocalyptic number.

22940560 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 22940560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26873280).

22940560 is an abundant number, since it is smaller than the sum of its proper divisors (30806000).

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

22940560 is a wasteful number, since it uses less digits than its factorization.

22940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 22940560 is about 4789.6304659128. The cubic root of 22940560 is about 284.1415019248.

The spelling of 22940560 in words is "twenty-two million, nine hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2063 2224 2780 4126 5560 8252 10315 11120 16504 20630 33008 41260 82520 165040 286757 573514 1147028 1433785 2294056 2867570 4588112 5735140 11470280 22940560