422181312 has 112 divisors (see below), whose sum is σ = 1317906432. Its totient is φ = 116720640.

The previous prime is 422181301. The next prime is 422181341. The reversal of 422181312 is 213181224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36598 + ... + 46730.

Almost surely, 2^422181312 is an apocalyptic number.

422181312 is a gapful number since it is divisible by the number (42) 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 422181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658953216).

422181312 is an abundant number, since it is smaller than the sum of its proper divisors (895725120).

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

422181312 is a wasteful number, since it uses less digits than its factorization.

422181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10176 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 422181312 is about 20547.0511752903. The cubic root of 422181312 is about 750.1814743081.

The spelling of 422181312 in words is "four hundred twenty-two million, one hundred eighty-one thousand, three hundred twelve".