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22164057 = 33820891
BaseRepresentation
bin101010010001…
…1001001011001
31112201001101000
41110203021121
521133222212
62111015213
7356251146
oct124431131
945631330
1022164057
1111569203
12750a509
134790436
142d2d3cd
151e2c1dc
hex1523259

22164057 has 8 divisors (see below), whose sum is σ = 32835680. Its totient is φ = 14776020.

The previous prime is 22164031. The next prime is 22164097. The reversal of 22164057 is 75046122.

It is not a de Polignac number, because 22164057 - 27 = 22163929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 820891 = 22164057 / (2 + 2 + 1 + 6 + 4 + 0 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22164057.

It is not an unprimeable number, because it can be changed into a prime (22164007) 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, 410419 + ... + 410472.

It is an arithmetic number, because the mean of its divisors is an integer number (4104460).

Almost surely, 222164057 is an apocalyptic number.

22164057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22164057 is a deficient number, since it is larger than the sum of its proper divisors (10671623).

22164057 is an equidigital number, since it uses as much as digits as its factorization.

22164057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820900 (or 820894 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22164057 is about 4707.8718121886. The cubic root of 22164057 is about 280.8987152013.

The spelling of 22164057 in words is "twenty-two million, one hundred sixty-four thousand, fifty-seven".

Divisors: 1 3 9 27 820891 2462673 7388019 22164057