214769800 has 48 divisors (see below), whose sum is σ = 570677760. Its totient is φ = 73634880.

The previous prime is 214769777. The next prime is 214769809. The reversal of 214769800 is 8967412.

214769800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214769800² = 92252133984080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214769800.

It is not an unprimeable number, because it can be changed into a prime (214769809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75304 + ... + 78103.

It is an arithmetic number, because the mean of its divisors is an integer number (11889120).

Almost surely, 2^214769800 is an apocalyptic number.

214769800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214769800 is an abundant number, since it is smaller than the sum of its proper divisors (355907960).

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

214769800 is a wasteful number, since it uses less digits than its factorization.

214769800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153430 (or 153421 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 214769800 is about 14655.0264414637. The cubic root of 214769800 is about 598.8587565746.

The spelling of 214769800 in words is "two hundred fourteen million, seven hundred sixty-nine thousand, eight hundred".