213349920 has 288 divisors, whose sum is σ = 802545408. Its totient is φ = 47480832.

The previous prime is 213349919. The next prime is 213349933. The reversal of 213349920 is 29943312.

213349920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105344 + ... + 1105536.

It is an arithmetic number, because the mean of its divisors is an integer number (2786616).

Almost surely, 2^213349920 is an apocalyptic number.

213349920 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 213349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401272704).

213349920 is an abundant number, since it is smaller than the sum of its proper divisors (589195488).

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

213349920 is a wasteful number, since it uses less digits than its factorization.

213349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 213349920 is about 14606.5026614861. The cubic root of 213349920 is about 597.5361182160.

The spelling of 213349920 in words is "two hundred thirteen million, three hundred forty-nine thousand, nine hundred twenty".