213142240 has 48 divisors (see below), whose sum is σ = 507442320. Its totient is φ = 84597760.

The previous prime is 213142217. The next prime is 213142253. The reversal of 213142240 is 42241312.

213142240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213142240² = 90859228944435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15876 + ... + 26044.

It is an arithmetic number, because the mean of its divisors is an integer number (10571715).

Almost surely, 2^213142240 is an apocalyptic number.

213142240 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 213142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253721160).

213142240 is an abundant number, since it is smaller than the sum of its proper divisors (294300080).

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

213142240 is a wasteful number, since it uses less digits than its factorization.

213142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 213142240 is about 14599.3917681525. The cubic root of 213142240 is about 597.3421698753.

Adding to 213142240 its reverse (42241312), we get a palindrome (255383552).

The spelling of 213142240 in words is "two hundred thirteen million, one hundred forty-two thousand, two hundred forty".