213000240 has 160 divisors (see below), whose sum is σ = 704526336. Its totient is φ = 53109760.

The previous prime is 213000239. The next prime is 213000301. The reversal of 213000240 is 42000312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259030 + ... + 259850.

Almost surely, 2^213000240 is an apocalyptic number.

213000240 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 213000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352263168).

213000240 is an abundant number, since it is smaller than the sum of its proper divisors (491526096).

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

213000240 is a wasteful number, since it uses less digits than its factorization.

213000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213000240 is about 14594.5277415886. The cubic root of 213000240 is about 597.2094862865.

Adding to 213000240 its reverse (42000312), we get a palindrome (255000552).

The spelling of 213000240 in words is "two hundred thirteen million, two hundred forty", and thus it is an aban number.