222105240 has 240 divisors, whose sum is σ = 869022000. Its totient is φ = 50730624.

The previous prime is 222105239. The next prime is 222105263. The reversal of 222105240 is 42501222.

222105240 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158061 + ... + 159459.

It is an arithmetic number, because the mean of its divisors is an integer number (3620925).

Almost surely, 2^222105240 is an apocalyptic number.

222105240 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 222105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434511000).

222105240 is an abundant number, since it is smaller than the sum of its proper divisors (646916760).

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

222105240 is a wasteful number, since it uses less digits than its factorization.

222105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 222105240 is about 14903.1956304680. The cubic root of 222105240 is about 605.6005602192.

Adding to 222105240 its reverse (42501222), we get a palindrome (264606462).

The spelling of 222105240 in words is "two hundred twenty-two million, one hundred five thousand, two hundred forty".