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2292164 = 227711153
BaseRepresentation
bin1000101111100111000100
311022110020222
420233213010
51041322124
6121043512
725324460
oct10574704
94273228
102292164
111326156
12926598
13623414
144394a0
1530425e
hex22f9c4

2292164 has 24 divisors (see below), whose sum is σ = 4652928. Its totient is φ = 967680.

The previous prime is 2292163. The next prime is 2292167. The reversal of 2292164 is 4612922.

2292164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2292163) 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, 1412 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (193872).

22292164 is an apocalyptic number.

It is an amenable number.

2292164 is an abundant number, since it is smaller than the sum of its proper divisors (2360764).

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

2292164 is a wasteful number, since it uses less digits than its factorization.

2292164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 2292164 is about 1513.9894319314. The cubic root of 2292164 is about 131.8505348325.

The spelling of 2292164 in words is "two million, two hundred ninety-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 71 142 284 497 994 1153 1988 2306 4612 8071 16142 32284 81863 163726 327452 573041 1146082 2292164