213919056 has 100 divisors (see below), whose sum is σ = 666822772. Its totient is φ = 65816064.

The previous prime is 213919049. The next prime is 213919063. The reversal of 213919056 is 650919312.

213919056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213919049) and next prime (213919063).

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 176464656 = 6120^2 + 13284^2 .

It is a super-2 number, since 2×213919056² = 91522725039862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213919056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10500 + ... + 23196.

Almost surely, 2^213919056 is an apocalyptic number.

213919056 is a gapful number since it is divisible by the number (26) 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 213919056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333411386).

213919056 is an abundant number, since it is smaller than the sum of its proper divisors (452903716).

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

213919056 is a wasteful number, since it uses less digits than its factorization.

213919056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 213919056 is about 14625.9719677018. The cubic root of 213919056 is about 598.0669790713.

The spelling of 213919056 in words is "two hundred thirteen million, nine hundred nineteen thousand, fifty-six".