221133251400 has 96 divisors (see below), whose sum is σ = 687013959840. Its totient is φ = 58839759360.

The previous prime is 221133251387. The next prime is 221133251411. The reversal of 221133251400 is 4152331122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129034 + ... + 677433.

It is an arithmetic number, because the mean of its divisors is an integer number (7156395415).

Almost surely, 2^221133251400 is an apocalyptic number.

221133251400 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 221133251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343506979920).

221133251400 is an abundant number, since it is smaller than the sum of its proper divisors (465880708440).

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

221133251400 is a wasteful number, since it uses less digits than its factorization.

221133251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806943 (or 806934 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 221133251400 its reverse (4152331122), we get a palindrome (225285582522).

The spelling of 221133251400 in words is "two hundred twenty-one billion, one hundred thirty-three million, two hundred fifty-one thousand, four hundred".