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10166220 = 2232556479
BaseRepresentation
bin100110110001…
…111111001100
3201010111102200
4212301333030
510100304340
61001521500
7152261061
oct46617714
921114380
1010166220
115814039
1234a3290
13214c41c
1414c8c68
15d5c330
hex9b1fcc

10166220 has 36 divisors (see below), whose sum is σ = 30838080. Its totient is φ = 2710944.

The previous prime is 10166213. The next prime is 10166249. The reversal of 10166220 is 2266101.

It is a happy number.

10166220 is a `hidden beast` number, since 1 + 0 + 1 + 662 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10166193 and 10166202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28060 + ... + 28419.

Almost surely, 210166220 is an apocalyptic number.

10166220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166220 is an abundant number, since it is smaller than the sum of its proper divisors (20671860).

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

10166220 is a wasteful number, since it uses less digits than its factorization.

10166220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56494 (or 56489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10166220 is about 3188.4510345934. The cubic root of 10166220 is about 216.6306159612.

The spelling of 10166220 in words is "ten million, one hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56479 112958 169437 225916 282395 338874 508311 564790 677748 847185 1016622 1129580 1694370 2033244 2541555 3388740 5083110 10166220