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22055040 = 273257547
BaseRepresentation
bin101010000100…
…0100010000000
31112111111211100
41110020202000
521121230130
62104414400
7355315260
oct124104200
945444740
1022055040
11114a4307
127477400
134752927
142d017a0
151e09c60
hex1508880

22055040 has 192 divisors, whose sum is σ = 87197760. Its totient is φ = 5031936.

The previous prime is 22055023. The next prime is 22055053. The reversal of 22055040 is 4055022.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40047 + ... + 40593.

It is an arithmetic number, because the mean of its divisors is an integer number (454155).

Almost surely, 222055040 is an apocalyptic number.

22055040 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 22055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43598880).

22055040 is an abundant number, since it is smaller than the sum of its proper divisors (65142720).

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

22055040 is a wasteful number, since it uses less digits than its factorization.

22055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22055040 is about 4696.2793784016. The cubic root of 22055040 is about 280.4374115649.

Subtracting from 22055040 its sum of digits (18), we obtain a palindrome (22055022).

The spelling of 22055040 in words is "twenty-two million, fifty-five thousand, forty".