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22166364 = 22311315417
BaseRepresentation
bin101010010001…
…1101101011100
31112201011112110
41110203231130
521133310424
62111034020
7356260653
oct124435534
945634473
1022166364
111156aa10
12750b910
1347914bc
142d3019a
151e2cc29
hex1523b5c

22166364 has 48 divisors (see below), whose sum is σ = 58254336. Its totient is φ = 6499200.

The previous prime is 22166341. The next prime is 22166381. The reversal of 22166364 is 46366122.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 6800.

It is an arithmetic number, because the mean of its divisors is an integer number (1213632).

Almost surely, 222166364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22166364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29127168).

22166364 is an abundant number, since it is smaller than the sum of its proper divisors (36087972).

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

22166364 is a wasteful number, since it uses less digits than its factorization.

22166364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5464 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 22166364 is about 4708.1168209805. The cubic root of 22166364 is about 280.9084608728.

The spelling of 22166364 in words is "twenty-two million, one hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 5417 10834 16251 21668 32502 59587 65004 119174 167927 178761 238348 335854 357522 503781 671708 715044 1007562 1847197 2015124 3694394 5541591 7388788 11083182 22166364