213255240 has 192 divisors, whose sum is σ = 741182400. Its totient is φ = 48913920.

The previous prime is 213255239. The next prime is 213255247. The reversal of 213255240 is 42552312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213255240.

It is not an unprimeable number, because it can be changed into a prime (213255247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275494 + ... + 276266.

It is an arithmetic number, because the mean of its divisors is an integer number (3860325).

Almost surely, 2^213255240 is an apocalyptic number.

213255240 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 213255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370591200).

213255240 is an abundant number, since it is smaller than the sum of its proper divisors (527927160).

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

213255240 is a wasteful number, since it uses less digits than its factorization.

213255240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213255240 is about 14603.2612795909. The cubic root of 213255240 is about 597.4477140104.

It can be divided in two parts, 21325 and 5240, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 213255240 in words is "two hundred thirteen million, two hundred fifty-five thousand, two hundred forty".