213104222400 has 84 divisors (see below), whose sum is σ = 699159452072. Its totient is φ = 56827791360.

The previous prime is 213104222371. The next prime is 213104222447. The reversal of 213104222400 is 4222401312.

It is a super-3 number, since 3×213104222400³ (a number of 35 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22193557 + ... + 22203156.

Almost surely, 2^213104222400 is an apocalyptic number.

213104222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213104222400 is an abundant number, since it is smaller than the sum of its proper divisors (486055229672).

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

213104222400 is a wasteful number, since it uses less digits than its factorization.

213104222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44396738 (or 44396723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 213104222400 its reverse (4222401312), we get a palindrome (217326623712).

The spelling of 213104222400 in words is "two hundred thirteen billion, one hundred four million, two hundred twenty-two thousand, four hundred".