222462720 has 288 divisors, whose sum is σ = 813839040. Its totient is φ = 57507840.

The previous prime is 222462707. The next prime is 222462743. The reversal of 222462720 is 27264222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416882 + ... + 1417038.

It is an arithmetic number, because the mean of its divisors is an integer number (2825830).

Almost surely, 2^222462720 is an apocalyptic number.

222462720 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 222462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406919520).

222462720 is an abundant number, since it is smaller than the sum of its proper divisors (591376320).

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

222462720 is a wasteful number, since it uses less digits than its factorization.

222462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 222462720 is about 14915.1842093888. The cubic root of 222462720 is about 605.9252922314.

The spelling of 222462720 in words is "two hundred twenty-two million, four hundred sixty-two thousand, seven hundred twenty".