213240300 has 288 divisors, whose sum is σ = 776950272. Its totient is φ = 43960320.

The previous prime is 213240283. The next prime is 213240329. The reversal of 213240300 is 3042312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213240300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992847 + ... + 1992953.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2^213240300 is an apocalyptic number.

213240300 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 213240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388475136).

213240300 is an abundant number, since it is smaller than the sum of its proper divisors (563709972).

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

213240300 is a wasteful number, since it uses less digits than its factorization.

213240300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213240300 is about 14602.7497410590. The cubic root of 213240300 is about 597.4337619073.

Adding to 213240300 its reverse (3042312), we get a palindrome (216282612).

The spelling of 213240300 in words is "two hundred thirteen million, two hundred forty thousand, three hundred".