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22688328 = 2331372719
BaseRepresentation
bin101011010001…
…1001001001000
31120200200112110
41112203021020
521302011303
62130142320
7363563505
oct126431110
946620473
1022688328
1111897093
1277219a0
134914c60
1430284ac
151ed2703
hex15a3248

22688328 has 32 divisors (see below), whose sum is σ = 61084800. Its totient is φ = 6980928.

The previous prime is 22688321. The next prime is 22688329. The reversal of 22688328 is 82388622.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22688321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36048 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (1908900).

Almost surely, 222688328 is an apocalyptic number.

It is an amenable number.

22688328 is an abundant number, since it is smaller than the sum of its proper divisors (38396472).

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

22688328 is a wasteful number, since it uses less digits than its factorization.

22688328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72741 (or 72737 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 22688328 is about 4763.2266374801. The cubic root of 22688328 is about 283.0962809244.

The spelling of 22688328 in words is "twenty-two million, six hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 72719 145438 218157 290876 436314 581752 872628 945347 1745256 1890694 2836041 3781388 5672082 7562776 11344164 22688328