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22768368 = 243767763
BaseRepresentation
bin101011011011…
…0101011110000
31120211202022220
41112312223300
521312041433
62132001040
7364346040
oct126665360
946752286
1022768368
1111941237
127760180
13494250c
143049720
151eeb2b3
hex15b6af0

22768368 has 40 divisors (see below), whose sum is σ = 67221888. Its totient is φ = 6505152.

The previous prime is 22768363. The next prime is 22768381. The reversal of 22768368 is 86386722.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22768363) 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, 33546 + ... + 34217.

Almost surely, 222768368 is an apocalyptic number.

22768368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22768368 is an abundant number, since it is smaller than the sum of its proper divisors (44453520).

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

22768368 is a wasteful number, since it uses less digits than its factorization.

22768368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67781 (or 67775 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 22768368 is about 4771.6211081770. The cubic root of 22768368 is about 283.4287930555.

The spelling of 22768368 in words is "twenty-two million, seven hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 67763 135526 203289 271052 406578 474341 542104 813156 948682 1084208 1423023 1626312 1897364 2846046 3252624 3794728 5692092 7589456 11384184 22768368