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22057218 = 233974211
BaseRepresentation
bin101010000100…
…1000100000010
31112111121211000
41110021010002
521121312333
62104432430
7355324521
oct124110402
945447730
1022057218
11114a5a07
127478716
134753911
142d024b8
151e0a713
hex1509102

22057218 has 32 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 7274880.

The previous prime is 22057201. The next prime is 22057229. The reversal of 22057218 is 81275022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22057191 and 22057200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3133 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 222057218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22057218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

22057218 is an abundant number, since it is smaller than the sum of its proper divisors (27475902).

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

22057218 is a wasteful number, since it uses less digits than its factorization.

22057218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 22057218 is about 4696.5112583704. The cubic root of 22057218 is about 280.4466426004.

The spelling of 22057218 in words is "twenty-two million, fifty-seven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 4211 5238 8422 12633 25266 37899 75798 113697 227394 408467 816934 1225401 2450802 3676203 7352406 11028609 22057218