213180000 has 480 divisors, whose sum is σ = 850227840. Its totient is φ = 46080000.

The previous prime is 213179971. The next prime is 213180001. The reversal of 213180000 is 81312.

It is a happy number.

213180000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213180001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11219991 + ... + 11220009.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2^213180000 is an apocalyptic number.

213180000 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 213180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425113920).

213180000 is an abundant number, since it is smaller than the sum of its proper divisors (637047840).

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

213180000 is a wasteful number, since it uses less digits than its factorization.

213180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213180000 is about 14600.6849154415. The cubic root of 213180000 is about 597.3774425778.

The spelling of 213180000 in words is "two hundred thirteen million, one hundred eighty thousand".