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22542264 = 2332313087
BaseRepresentation
bin101010111111…
…1011110111000
31120102021011200
41111333132320
521232323024
62123054200
7362414613
oct125773670
946367150
1022542264
11117a7378
127671360
134893624
142dcb17a
151ea42c9
hex157f7b8

22542264 has 24 divisors (see below), whose sum is σ = 61052160. Its totient is φ = 7514064.

The previous prime is 22542263. The next prime is 22542269. The reversal of 22542264 is 46224522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156472 + ... + 156615.

It is an arithmetic number, because the mean of its divisors is an integer number (2543840).

Almost surely, 222542264 is an apocalyptic number.

22542264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22542264 is an abundant number, since it is smaller than the sum of its proper divisors (38509896).

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

22542264 is a wasteful number, since it uses less digits than its factorization.

22542264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313099 (or 313092 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 22542264 is about 4747.8694169069. The cubic root of 22542264 is about 282.4874623094.

Adding to 22542264 its reverse (46224522), we get a palindrome (68766786).

The spelling of 22542264 in words is "twenty-two million, five hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313087 626174 939261 1252348 1878522 2504696 2817783 3757044 5635566 7514088 11271132 22542264