213289700 has 72 divisors (see below), whose sum is σ = 501634560. Its totient is φ = 78249600.

The previous prime is 213289673. The next prime is 213289717. The reversal of 213289700 is 7982312.

213289700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213289700² = 90984992252180000, 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, 247871 + ... + 248729.

Almost surely, 2^213289700 is an apocalyptic number.

213289700 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 213289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250817280).

213289700 is an abundant number, since it is smaller than the sum of its proper divisors (288344860).

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

213289700 is a wasteful number, since it uses less digits than its factorization.

213289700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 213289700 is about 14604.4411053624. The cubic root of 213289700 is about 597.4798928826.

The spelling of 213289700 in words is "two hundred thirteen million, two hundred eighty-nine thousand, seven hundred".