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22145328 = 2432295303
BaseRepresentation
bin101010001111…
…0100100110000
31112200002200100
41110132210300
521132122303
62110352400
7356142432
oct124364460
945602610
1022145328
1111556127
1274bb700
134784a5a
142d26652
151e268a3
hex151e930

22145328 has 60 divisors (see below), whose sum is σ = 64125360. Its totient is φ = 7125888.

The previous prime is 22145327. The next prime is 22145363. The reversal of 22145328 is 82354122.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Sastry number since concatenated with its successor gives a square.

It is not an unprimeable number, because it can be changed into a prime (22145323) 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 11 ways as a sum of consecutive naturals, for example, 1525 + ... + 6827.

It is an arithmetic number, because the mean of its divisors is an integer number (1068756).

Almost surely, 222145328 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 22145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062680).

22145328 is an abundant number, since it is smaller than the sum of its proper divisors (41980032).

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

22145328 is a wasteful number, since it uses less digits than its factorization.

22145328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5337 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 22145328 is about 4705.8822764706. The cubic root of 22145328 is about 280.8195715289.

The spelling of 22145328 in words is "twenty-two million, one hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 5303 10606 15909 21212 31818 42424 47727 63636 84848 95454 127272 153787 190908 254544 307574 381816 461361 615148 763632 922722 1230296 1384083 1845444 2460592 2768166 3690888 5536332 7381776 11072664 22145328