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22166928 = 2432721991
BaseRepresentation
bin101010010001…
…1110110010000
31112201012022100
41110203312100
521133320203
62111040400
7356262420
oct124436620
945635270
1022166928
1111570383
127510100
134791834
142d30480
151e2cea3
hex1523d90

22166928 has 60 divisors (see below), whose sum is σ = 70902208. Its totient is φ = 6333120.

The previous prime is 22166923. The next prime is 22166941. The reversal of 22166928 is 82966122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 22166892 and 22166901.

It is not an unprimeable number, because it can be changed into a prime (22166923) 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 11 ways as a sum of consecutive naturals, for example, 9988 + ... + 12003.

Almost surely, 222166928 is an apocalyptic number.

22166928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22166928 is an abundant number, since it is smaller than the sum of its proper divisors (48735280).

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

22166928 is a wasteful number, since it uses less digits than its factorization.

22166928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 22003 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22166928 is about 4708.1767171592. The cubic root of 22166928 is about 280.9108433268.

The spelling of 22166928 in words is "twenty-two million, one hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 21991 43982 65973 87964 131946 153937 175928 197919 263892 307874 351856 395838 461811 527784 615748 791676 923622 1055568 1231496 1385433 1583352 1847244 2462992 2770866 3166704 3694488 5541732 7388976 11083464 22166928