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22146368 = 26536529
BaseRepresentation
bin101010001111…
…0110101000000
31112200011002212
41110132311000
521132140433
62110401252
7356145446
oct124366500
945604085
1022146368
1111556992
127500228
13478537a
142d26b96
151e26d48
hex151ed40

22146368 has 28 divisors (see below), whose sum is σ = 44782740. Its totient is φ = 10862592.

The previous prime is 22146367. The next prime is 22146373. The reversal of 22146368 is 86364122.

It can be written as a sum of positive squares in 2 ways, for example, as 8248384 + 13897984 = 2872^2 + 3728^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22146367) 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 3 ways as a sum of consecutive naturals, for example, 128 + ... + 6656.

Almost surely, 222146368 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 22146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391370).

22146368 is an abundant number, since it is smaller than the sum of its proper divisors (22636372).

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

22146368 is an equidigital number, since it uses as much as digits as its factorization.

22146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6584 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 22146368 is about 4705.9927751751. The cubic root of 22146368 is about 280.8239674566.

The spelling of 22146368 in words is "twenty-two million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 6529 13058 26116 52232 104464 208928 346037 417856 692074 1384148 2768296 5536592 11073184 22146368