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22308328 = 237256909
BaseRepresentation
bin101010100011…
…0010111101000
31112222101021101
41111012113220
521202331303
62114051144
7360421600
oct125062750
945871241
1022308328
1111657639
127579ab4
134810cc3
142d69c00
151e59d1d
hex15465e8

22308328 has 24 divisors (see below), whose sum is σ = 48658050. Its totient is φ = 9560544.

The previous prime is 22308317. The next prime is 22308379. The reversal of 22308328 is 82380322.

It can be written as a sum of positive squares in only one way, i.e., 20958084 + 1350244 = 4578^2 + 1162^2 .

It is a super-3 number, since 3×223083283 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22308296 and 22308305.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28063 + ... + 28846.

Almost surely, 222308328 is an apocalyptic number.

22308328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22308328 is an abundant number, since it is smaller than the sum of its proper divisors (26349722).

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

22308328 is a wasteful number, since it uses less digits than its factorization.

22308328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56929 (or 56918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 22308328 is about 4723.1692749678. The cubic root of 22308328 is about 281.5068758988.

The spelling of 22308328 in words is "twenty-two million, three hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 56909 113818 227636 398363 455272 796726 1593452 2788541 3186904 5577082 11154164 22308328