10185220 has 24 divisors (see below), whose sum is σ = 21912408. Its totient is φ = 3974400.

The previous prime is 10185209. The next prime is 10185257. The reversal of 10185220 is 2258101.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 9036036 = 1072^2 + 3006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5391 + ... + 7030.

It is an arithmetic number, because the mean of its divisors is an integer number (913017).

Almost surely, 2^10185220 is an apocalyptic number.

10185220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10185220 is an abundant number, since it is smaller than the sum of its proper divisors (11727188).

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

10185220 is a wasteful number, since it uses less digits than its factorization.

10185220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10185220 is about 3191.4291469497. The cubic root of 10185220 is about 216.7654881226.

The spelling of 10185220 in words is "ten million, one hundred eighty-five thousand, two hundred twenty".