213204400 has 30 divisors (see below), whose sum is σ = 512224532. Its totient is φ = 85281600.

The previous prime is 213204389. The next prime is 213204403. The reversal of 213204400 is 4402312.

It is a super-2 number, since 2×213204400² = 90912232358720000, which contains 22 as substring.

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 (213204403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266106 + ... + 266905.

Almost surely, 2^213204400 is an apocalyptic number.

213204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213204400 is an abundant number, since it is smaller than the sum of its proper divisors (299020132).

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

213204400 is a wasteful number, since it uses less digits than its factorization.

213204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533029 (or 533018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 213204400 is about 14601.5204687731. The cubic root of 213204400 is about 597.4002331047.

Adding to 213204400 its reverse (4402312), we get a palindrome (217606712).

The spelling of 213204400 in words is "two hundred thirteen million, two hundred four thousand, four hundred".