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22221940 = 2251385469
BaseRepresentation
bin101010011000…
…1010001110100
31112210222202211
41110301101310
521142100230
62112143204
7356611666
oct124612164
945728684
1022221940
11115a8744
127537b04
1347b08a0
142d46536
151e3e42a
hex1531474

22221940 has 24 divisors (see below), whose sum is σ = 50256360. Its totient is φ = 8204928.

The previous prime is 22221911. The next prime is 22221949. The reversal of 22221940 is 4912222.

It can be written as a sum of positive squares in 4 ways, for example, as 3247204 + 18974736 = 1802^2 + 4356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221949) 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, 42475 + ... + 42994.

It is an arithmetic number, because the mean of its divisors is an integer number (2094015).

Almost surely, 222221940 is an apocalyptic number.

22221940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221940 is an abundant number, since it is smaller than the sum of its proper divisors (28034420).

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

22221940 is a wasteful number, since it uses less digits than its factorization.

22221940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85491 (or 85489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22221940 is about 4714.0152736282. The cubic root of 22221940 is about 281.1430315850.

The spelling of 22221940 in words is "twenty-two million, two hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 85469 170938 341876 427345 854690 1111097 1709380 2222194 4444388 5555485 11110970 22221940