222142464 has 168 divisors, whose sum is σ = 674717472. Its totient is φ = 70287360.

The previous prime is 222142463. The next prime is 222142483. The reversal of 222142464 is 464241222.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (222142463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695679 + ... + 1695809.

Almost surely, 2^222142464 is an apocalyptic number.

222142464 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 222142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337358736).

222142464 is an abundant number, since it is smaller than the sum of its proper divisors (452575008).

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

222142464 is a wasteful number, since it uses less digits than its factorization.

222142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 222142464 is about 14904.4444378179. Note that the first 4 decimals coincide. The cubic root of 222142464 is about 605.6343904521.

Adding to 222142464 its reverse (464241222), we get a palindrome (686383686).

The spelling of 222142464 in words is "two hundred twenty-two million, one hundred forty-two thousand, four hundred sixty-four".