214955520 has 160 divisors (see below), whose sum is σ = 740390112. Its totient is φ = 52887552.

The previous prime is 214955509. The next prime is 214955537. The reversal of 214955520 is 25559412.

214955520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98764 + ... + 100916.

Almost surely, 2^214955520 is an apocalyptic number.

214955520 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 214955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370195056).

214955520 is an abundant number, since it is smaller than the sum of its proper divisors (525434592).

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

214955520 is a wasteful number, since it uses less digits than its factorization.

214955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 214955520 is about 14661.3614647481. The cubic root of 214955520 is about 599.0313258478.

The spelling of 214955520 in words is "two hundred fourteen million, nine hundred fifty-five thousand, five hundred twenty".