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22057940 = 2252115227
BaseRepresentation
bin101010000100…
…1001111010100
31112111122210202
41110021033110
521121323230
62104440032
7355326602
oct124111724
945448722
1022057940
11114a6503
127479018
134754048
142d02872
151e0aa45
hex15093d4

22057940 has 24 divisors (see below), whose sum is σ = 46550112. Its totient is φ = 8779680.

The previous prime is 22057933. The next prime is 22057949. The reversal of 22057940 is 4975022.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22057949) 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, 1607 + ... + 6833.

It is an arithmetic number, because the mean of its divisors is an integer number (1939588).

Almost surely, 222057940 is an apocalyptic number.

22057940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22057940 is an abundant number, since it is smaller than the sum of its proper divisors (24492172).

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

22057940 is a wasteful number, since it uses less digits than its factorization.

22057940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 22057940 is about 4696.5881233082. The cubic root of 22057940 is about 280.4497025250.

It can be divided in two parts, 22057 and 940, that multiplied together give a triangular number (20733580 = T6439).

The spelling of 22057940 in words is "twenty-two million, fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220 5227 10454 20908 26135 52270 104540 1102897 2205794 4411588 5514485 11028970 22057940