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22135272 = 233922303
BaseRepresentation
bin101010001110…
…0000111101000
31112122120212220
41110130013220
521131312042
62110234040
7356101215
oct124340750
945576786
1022135272
1111549615
1274b5920
1347802c3
142d22b0c
151e238ec
hex151c1e8

22135272 has 16 divisors (see below), whose sum is σ = 55338240. Its totient is φ = 7378416.

The previous prime is 22135249. The next prime is 22135277. The reversal of 22135272 is 27253122.

It is a happy number.

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 922303 = 22135272 / (2 + 2 + 1 + 3 + 5 + 2 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (22135277) 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, 461128 + ... + 461175.

It is an arithmetic number, because the mean of its divisors is an integer number (3458640).

Almost surely, 222135272 is an apocalyptic number.

It is an amenable number.

22135272 is an abundant number, since it is smaller than the sum of its proper divisors (33202968).

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

22135272 is a wasteful number, since it uses less digits than its factorization.

22135272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922312 (or 922308 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 22135272 is about 4704.8137051322. The cubic root of 22135272 is about 280.7770591886. Note that the first 3 decimals are identical.

Adding to 22135272 its reverse (27253122), we get a palindrome (49388394).

The spelling of 22135272 in words is "twenty-two million, one hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 922303 1844606 2766909 3689212 5533818 7378424 11067636 22135272