221223400 has 48 divisors (see below), whose sum is σ = 519386400. Its totient is φ = 87622080.

The previous prime is 221223371. The next prime is 221223421. The reversal of 221223400 is 4322122.

221223400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 15231 + ... + 25969.

It is an arithmetic number, because the mean of its divisors is an integer number (10820550).

Almost surely, 2^221223400 is an apocalyptic number.

221223400 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 221223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259693200).

221223400 is an abundant number, since it is smaller than the sum of its proper divisors (298163000).

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

221223400 is a wasteful number, since it uses less digits than its factorization.

221223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858 (or 10849 counting only the distinct ones).

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

The square root of 221223400 is about 14873.5806045485. The cubic root of 221223400 is about 604.7980110257.

Adding to 221223400 its reverse (4322122), we get a palindrome (225545522).

The spelling of 221223400 in words is "two hundred twenty-one million, two hundred twenty-three thousand, four hundred".