212282800 has 90 divisors (see below), whose sum is σ = 523502828. Its totient is φ = 82705920.

The previous prime is 212282783. The next prime is 212282809. The reversal of 212282800 is 8282212.

212282800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (212282809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2385156 + ... + 2385244.

Almost surely, 2^212282800 is an apocalyptic number.

212282800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261751414).

212282800 is an abundant number, since it is smaller than the sum of its proper divisors (311220028).

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

212282800 is an equidigital number, since it uses as much as digits as its factorization.

212282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 212282800 is about 14569.9279339330. The cubic root of 212282800 is about 596.5382132823.

The spelling of 212282800 in words is "two hundred twelve million, two hundred eighty-two thousand, eight hundred".