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22137668 = 2274671693
BaseRepresentation
bin101010001110…
…0101101000100
31112122201011122
41110130231010
521131401133
62110253112
7356111210
oct124345504
945581148
1022137668
11115503a3
1274b7198
134781417
142d23940
151e24498
hex151cb44

22137668 has 24 divisors (see below), whose sum is σ = 44396352. Its totient is φ = 9461664.

The previous prime is 22137667. The next prime is 22137673. The reversal of 22137668 is 86673122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22137667) 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, 12230 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 222137668 is an apocalyptic number.

22137668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22137668 is an abundant number, since it is smaller than the sum of its proper divisors (22258684).

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

22137668 is a wasteful number, since it uses less digits than its factorization.

22137668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 22137668 is about 4705.0683310660. The cubic root of 22137668 is about 280.7871895899.

The spelling of 22137668 in words is "twenty-two million, one hundred thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 467 934 1693 1868 3269 3386 6538 6772 11851 13076 23702 47404 790631 1581262 3162524 5534417 11068834 22137668