213730944 has 192 divisors, whose sum is σ = 680470560. Its totient is φ = 59222016.

The previous prime is 213730921. The next prime is 213730961. The reversal of 213730944 is 449037312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×213730944² = 91361832846262272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696039 + ... + 696345.

Almost surely, 2^213730944 is an apocalyptic number.

213730944 is a gapful number since it is divisible by the number (24) 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 213730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340235280).

213730944 is an abundant number, since it is smaller than the sum of its proper divisors (466739616).

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

213730944 is a wasteful number, since it uses less digits than its factorization.

213730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 213730944 is about 14619.5398012386. The cubic root of 213730944 is about 597.8916221382.

The spelling of 213730944 in words is "two hundred thirteen million, seven hundred thirty thousand, nine hundred forty-four".