214172600 has 48 divisors (see below), whose sum is σ = 501363000. Its totient is φ = 85082240.

The previous prime is 214172587. The next prime is 214172611. The reversal of 214172600 is 6271412.

214172600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 26207 + ... + 33393.

Almost surely, 2^214172600 is an apocalyptic number.

214172600 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 214172600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250681500).

214172600 is an abundant number, since it is smaller than the sum of its proper divisors (287190400).

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

214172600 is a wasteful number, since it uses less digits than its factorization.

214172600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 214172600 is about 14634.6369958397. The cubic root of 214172600 is about 598.3031687595.

The spelling of 214172600 in words is "two hundred fourteen million, one hundred seventy-two thousand, six hundred".