360222000 has 80 divisors (see below), whose sum is σ = 1161375072. Its totient is φ = 96057600.

The previous prime is 360221933. The next prime is 360222011. The reversal of 360222000 is 222063.

360222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 24019 + ... + 36018.

Almost surely, 2^360222000 is an apocalyptic number.

360222000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360222000 is an abundant number, since it is smaller than the sum of its proper divisors (801153072).

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

360222000 is a wasteful number, since it uses less digits than its factorization.

360222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60063 (or 60047 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 360222000 is about 18979.5152730516. The cubic root of 360222000 is about 711.5248586862.

Adding to 360222000 its reverse (222063), we get a palindrome (360444063).

The spelling of 360222000 in words is "three hundred sixty million, two hundred twenty-two thousand".