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22328144 = 242948121
BaseRepresentation
bin101010100101…
…1001101010000
31120000101110022
41111023031100
521204000034
62114323012
7360533426
oct125131520
946011408
1022328144
1111670513
127589468
13481a027
142d73116
151e60b2e
hex154b350

22328144 has 20 divisors (see below), whose sum is σ = 44753460. Its totient is φ = 10778880.

The previous prime is 22328143. The next prime is 22328197. The reversal of 22328144 is 44182322.

It can be written as a sum of positive squares in 2 ways, for example, as 13987600 + 8340544 = 3740^2 + 2888^2 .

It is a super-3 number, since 3×223281443 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328143) 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, 23597 + ... + 24524.

It is an arithmetic number, because the mean of its divisors is an integer number (2237673).

Almost surely, 222328144 is an apocalyptic number.

It is an amenable number.

22328144 is an abundant number, since it is smaller than the sum of its proper divisors (22425316).

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

22328144 is a wasteful number, since it uses less digits than its factorization.

22328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48158 (or 48152 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 22328144 is about 4725.2665533280. The cubic root of 22328144 is about 281.5902033653.

The spelling of 22328144 in words is "twenty-two million, three hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 48121 96242 192484 384968 769936 1395509 2791018 5582036 11164072 22328144