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22057440 = 253545953
BaseRepresentation
bin101010000100…
…1000111100000
31112111122010020
41110021013200
521121314230
62104433440
7355325256
oct124110740
945448106
1022057440
11114a6099
127478880
134753a52
142d025d6
151e0a810
hex15091e0

22057440 has 48 divisors (see below), whose sum is σ = 69482448. Its totient is φ = 5881856.

The previous prime is 22057433. The next prime is 22057457. The reversal of 22057440 is 4475022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22057440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22497 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (1447551).

Almost surely, 222057440 is an apocalyptic number.

22057440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22057440 is an abundant number, since it is smaller than the sum of its proper divisors (47425008).

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

22057440 is a wasteful number, since it uses less digits than its factorization.

22057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45971 (or 45963 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 22057440 is about 4696.5348928758. The cubic root of 22057440 is about 280.4475834708.

The spelling of 22057440 in words is "twenty-two million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 45953 91906 137859 183812 229765 275718 367624 459530 551436 689295 735248 919060 1102872 1378590 1470496 1838120 2205744 2757180 3676240 4411488 5514360 7352480 11028720 22057440