212285200 has 30 divisors (see below), whose sum is σ = 510016154. Its totient is φ = 84913920.

The previous prime is 212285173. The next prime is 212285207. The reversal of 212285200 is 2582212.

It can be written as a sum of positive squares in 3 ways, for example, as 68956416 + 143328784 = 8304^2 + 11972^2 .

It is a super-2 number, since 2×212285200² = 90130012278080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212285207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264957 + ... + 265756.

Almost surely, 2^212285200 is an apocalyptic number.

212285200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212285200 is an abundant number, since it is smaller than the sum of its proper divisors (297730954).

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

212285200 is a wasteful number, since it uses less digits than its factorization.

212285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530731 (or 530720 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 212285200 is about 14570.0102951233. The cubic root of 212285200 is about 596.5404613625.

The spelling of 212285200 in words is "two hundred twelve million, two hundred eighty-five thousand, two hundred".