213272200 has 48 divisors (see below), whose sum is σ = 498466980. Its totient is φ = 84860160.

The previous prime is 213272183. The next prime is 213272203. The reversal of 213272200 is 2272312.

It can be written as a sum of positive squares in 6 ways, for example, as 112911876 + 100360324 = 10626^2 + 10018^2 .

It is not an unprimeable number, because it can be changed into a prime (213272203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36694 + ... + 42106.

Almost surely, 2^213272200 is an apocalyptic number.

213272200 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 213272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249233490).

213272200 is an abundant number, since it is smaller than the sum of its proper divisors (285194780).

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

213272200 is a wasteful number, since it uses less digits than its factorization.

213272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 213272200 is about 14603.8419602514. The cubic root of 213272200 is about 597.4635517527.

The spelling of 213272200 in words is "two hundred thirteen million, two hundred seventy-two thousand, two hundred".