240222400 has 84 divisors (see below), whose sum is σ = 644880600. Its totient is φ = 87347200.

The previous prime is 240222371. The next prime is 240222431. The reversal of 240222400 is 4222042.

240222400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 10776 + ... + 24424.

It is an arithmetic number, because the mean of its divisors is an integer number (7677150).

Almost surely, 2^240222400 is an apocalyptic number.

240222400 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 240222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322440300).

240222400 is an abundant number, since it is smaller than the sum of its proper divisors (404658200).

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

240222400 is a wasteful number, since it uses less digits than its factorization.

240222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240222400 is about 15499.1096518477. The cubic root of 240222400 is about 621.6383998469.

Adding to 240222400 its reverse (4222042), we get a palindrome (244444442).

The spelling of 240222400 in words is "two hundred forty million, two hundred twenty-two thousand, four hundred".