222360768 has 224 divisors, whose sum is σ = 772485120. Its totient is φ = 61378560.

The previous prime is 222360767. The next prime is 222360779. The reversal of 222360768 is 867063222.

222360768 is a `hidden beast` number, since 22 + 23 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×222360768² = 98888622291099648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (222360767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374680 + ... + 375272.

Almost surely, 2^222360768 is an apocalyptic number.

222360768 is a gapful number since it is divisible by the number (28) 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 222360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560).

222360768 is an abundant number, since it is smaller than the sum of its proper divisors (550124352).

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

222360768 is a wasteful number, since it uses less digits than its factorization.

222360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 222360768 is about 14911.7660925861. The cubic root of 222360768 is about 605.8327153197.

The spelling of 222360768 in words is "two hundred twenty-two million, three hundred sixty thousand, seven hundred sixty-eight".