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10056220 = 225532179
BaseRepresentation
bin100110010111…
…001000011100
3200220220112121
4212113020130
510033244340
6555312324
7151322266
oct46271034
920826477
1010056220
115749429
12344b6a4
132111335
14149ab36
15d3994a
hex99721c

10056220 has 36 divisors (see below), whose sum is σ = 21644280. Its totient is φ = 3924544.

The previous prime is 10056217. The next prime is 10056229. The reversal of 10056220 is 2265001.

It is a happy number.

It is a super-2 number, since 2×100562202 = 202255121376800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10056194 and 10056203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056229) 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, 56091 + ... + 56269.

It is an arithmetic number, because the mean of its divisors is an integer number (601230).

Almost surely, 210056220 is an apocalyptic number.

10056220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056220 is an abundant number, since it is smaller than the sum of its proper divisors (11588060).

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

10056220 is a wasteful number, since it uses less digits than its factorization.

10056220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10056220 is about 3171.1543639501. The cubic root of 10056220 is about 215.8464558077.

It can be divided in two parts, 1005 and 6220, that added together give a square (7225 = 852).

The spelling of 10056220 in words is "ten million, fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 179 212 265 358 530 716 895 1060 1790 2809 3580 5618 9487 11236 14045 18974 28090 37948 47435 56180 94870 189740 502811 1005622 2011244 2514055 5028110 10056220