213200222400 has 504 divisors, whose sum is σ = 832013895024. Its totient is φ = 51349708800.

The previous prime is 213200222377. The next prime is 213200222419. The reversal of 213200222400 is 4222002312.

213200222400 is a `hidden beast` number, since 21 + 3 + 20 + 0 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24864514 + ... + 24873086.

Almost surely, 2^213200222400 is an apocalyptic number.

213200222400 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 213200222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416006947512).

213200222400 is an abundant number, since it is smaller than the sum of its proper divisors (618813672624).

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

213200222400 is a wasteful number, since it uses less digits than its factorization.

213200222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213200222400 its reverse (4222002312), we get a palindrome (217422224712).

It can be divided in two parts, 213200 and 222400, that added together give a square (435600 = 660²).

The spelling of 213200222400 in words is "two hundred thirteen billion, two hundred million, two hundred twenty-two thousand, four hundred".