213114400 has 72 divisors (see below), whose sum is σ = 522716544. Its totient is φ = 84844800.

The previous prime is 213114379. The next prime is 213114409. The reversal of 213114400 is 4411312.

213114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213114409) 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, 216309 + ... + 217291.

It is an arithmetic number, because the mean of its divisors is an integer number (7259952).

Almost surely, 2^213114400 is an apocalyptic number.

213114400 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 213114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261358272).

213114400 is an abundant number, since it is smaller than the sum of its proper divisors (309602144).

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

213114400 is a wasteful number, since it uses less digits than its factorization.

213114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213114400 is about 14598.4382726372. The cubic root of 213114400 is about 597.3161610621.

Adding to 213114400 its reverse (4411312), we get a palindrome (217525712).

The spelling of 213114400 in words is "two hundred thirteen million, one hundred fourteen thousand, four hundred".