152224002 has 64 divisors (see below), whose sum is σ = 388239360. Its totient is φ = 43308432.

The previous prime is 152223989. The next prime is 152224013. The reversal of 152224002 is 200422251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106263 + ... + 107685.

It is an arithmetic number, because the mean of its divisors is an integer number (6066240).

Almost surely, 2^152224002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194119680).

152224002 is an abundant number, since it is smaller than the sum of its proper divisors (236015358).

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

152224002 is a wasteful number, since it uses less digits than its factorization.

152224002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152224002 is about 12337.9091421521. The cubic root of 152224002 is about 533.9423621669.

Adding to 152224002 its reverse (200422251), we get a palindrome (352646253).

The spelling of 152224002 in words is "one hundred fifty-two million, two hundred twenty-four thousand, two".