213900000 has 288 divisors, whose sum is σ = 755951616. Its totient is φ = 52800000.

The previous prime is 213899989. The next prime is 213900053. The reversal of 213900000 is 9312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6899985 + ... + 6900015.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^213900000 is an apocalyptic number.

213900000 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 213900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

213900000 is an abundant number, since it is smaller than the sum of its proper divisors (542051616).

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

213900000 is an equidigital number, since it uses as much as digits as its factorization.

213900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 213900000 is about 14625.3205093085. The cubic root of 213900000 is about 598.0492198575.

Adding to 213900000 its reverse (9312), we get a palindrome (213909312).

The spelling of 213900000 in words is "two hundred thirteen million, nine hundred thousand".