352216224 has 144 divisors (see below), whose sum is σ = 1062996480. Its totient is φ = 110315520.

The previous prime is 352216219. The next prime is 352216229. The reversal of 352216224 is 422612253.

It is a happy number.

352216224 is a `hidden beast` number, since 35 + 2 + 2 + 1 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (352216219) and next prime (352216229).

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

It is not an unprimeable number, because it can be changed into a prime (352216229) 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, 1044984 + ... + 1045320.

It is an arithmetic number, because the mean of its divisors is an integer number (7381920).

Almost surely, 2^352216224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531498240).

352216224 is an abundant number, since it is smaller than the sum of its proper divisors (710780256).

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

352216224 is a wasteful number, since it uses less digits than its factorization.

352216224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 352216224 is about 18767.4245436075. The cubic root of 352216224 is about 706.2142105862.

Adding to 352216224 its reverse (422612253), we get a palindrome (774828477).

The spelling of 352216224 in words is "three hundred fifty-two million, two hundred sixteen thousand, two hundred twenty-four".