213770256 has 80 divisors (see below), whose sum is σ = 634626048. Its totient is φ = 60739200.

The previous prime is 213770251. The next prime is 213770261. The reversal of 213770256 is 652077312.

It is an interprime number because it is at equal distance from previous prime (213770251) and next prime (213770261).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213770251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62511 + ... + 65841.

Almost surely, 2^213770256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213770256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317313024).

213770256 is an abundant number, since it is smaller than the sum of its proper divisors (420855792).

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

213770256 is a wasteful number, since it uses less digits than its factorization.

213770256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 213770256 is about 14620.8842413857. The cubic root of 213770256 is about 597.9282770623.

The spelling of 213770256 in words is "two hundred thirteen million, seven hundred seventy thousand, two hundred fifty-six".