221314431400 has 48 divisors (see below), whose sum is σ = 519551791200. Its totient is φ = 87666290880.

The previous prime is 221314431367. The next prime is 221314431407. The reversal of 221314431400 is 4134413122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (221314431407) 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, 5351110 + ... + 5392309.

It is an arithmetic number, because the mean of its divisors is an integer number (10823995650).

Almost surely, 2^221314431400 is an apocalyptic number.

221314431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221314431400 is an abundant number, since it is smaller than the sum of its proper divisors (298237359800).

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

221314431400 is a wasteful number, since it uses less digits than its factorization.

221314431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743538 (or 10743529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221314431400 its reverse (4134413122), we get a palindrome (225448844522).

The spelling of 221314431400 in words is "two hundred twenty-one billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred".