222720960 has 448 divisors, whose sum is σ = 926982144. Its totient is φ = 43929600.

The previous prime is 222720959. The next prime is 222720977. The reversal of 222720960 is 69027222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1700095 + ... + 1700225.

Almost surely, 2^222720960 is an apocalyptic number.

222720960 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 222720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463491072).

222720960 is an abundant number, since it is smaller than the sum of its proper divisors (704261184).

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

222720960 is a wasteful number, since it uses less digits than its factorization.

222720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 222720960 is about 14923.8386482835. The cubic root of 222720960 is about 606.1596590506.

The spelling of 222720960 in words is "two hundred twenty-two million, seven hundred twenty thousand, nine hundred sixty".