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22056440 = 2357372129
BaseRepresentation
bin101010000100…
…0110111111000
31112111120202012
41110020313320
521121301230
62104425052
7355322330
oct124106770
945446665
1022056440
11114a536a
127478188
134753463
142d020c0
151e0a395
hex1508df8

22056440 has 64 divisors (see below), whose sum is σ = 58276800. Its totient is φ = 7354368.

The previous prime is 22056413. The next prime is 22056449. The reversal of 22056440 is 4465022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22056449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9296 + ... + 11424.

It is an arithmetic number, because the mean of its divisors is an integer number (910575).

Almost surely, 222056440 is an apocalyptic number.

22056440 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 22056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29138400).

22056440 is an abundant number, since it is smaller than the sum of its proper divisors (36220360).

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

22056440 is a wasteful number, since it uses less digits than its factorization.

22056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 22056440 is about 4696.4284302010. The cubic root of 22056440 is about 280.4433452663.

The spelling of 22056440 in words is "twenty-two million, fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2129 2590 4258 5180 8516 10360 10645 14903 17032 21290 29806 42580 59612 74515 78773 85160 119224 149030 157546 298060 315092 393865 551411 596120 630184 787730 1102822 1575460 2205644 2757055 3150920 4411288 5514110 11028220 22056440