222152064 has 64 divisors (see below), whose sum is σ = 610470000. Its totient is φ = 71493632.

The previous prime is 222152059. The next prime is 222152081. The reversal of 222152064 is 460251222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 1162 + ... + 21110.

Almost surely, 2^222152064 is an apocalyptic number.

222152064 is a gapful number since it is divisible by the number (24) 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 222152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305235000).

222152064 is an abundant number, since it is smaller than the sum of its proper divisors (388317936).

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

222152064 is a wasteful number, since it uses less digits than its factorization.

222152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 222152064 is about 14904.7664859266. The cubic root of 222152064 is about 605.6431145929.

It can be divided in two parts, 2221 and 52064, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 222152064 in words is "two hundred twenty-two million, one hundred fifty-two thousand, sixty-four".