222241824 has 144 divisors (see below), whose sum is σ = 753846912. Its totient is φ = 60724224.

The previous prime is 222241813. The next prime is 222241829. The reversal of 222241824 is 428142222.

222241824 is a `hidden beast` number, since 2 + 222 + 418 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222241829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43972 + ... + 48764.

It is an arithmetic number, because the mean of its divisors is an integer number (5235048).

Almost surely, 2^222241824 is an apocalyptic number.

222241824 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 222241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376923456).

222241824 is an abundant number, since it is smaller than the sum of its proper divisors (531605088).

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

222241824 is a wasteful number, since it uses less digits than its factorization.

222241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4828 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 222241824 is about 14907.7772991147. Note that the first 3 decimals coincide. The cubic root of 222241824 is about 605.7246731508.

The spelling of 222241824 in words is "two hundred twenty-two million, two hundred forty-one thousand, eight hundred twenty-four".