332229120 has 160 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 87736320.

The previous prime is 332229101. The next prime is 332229169. The reversal of 332229120 is 21922233.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×332229120² = 220752376351948800, which contains 22 as substring.

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

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, 1389961 + ... + 1390199.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^332229120 is an apocalyptic number.

332229120 is a gapful number since it is divisible by the number (30) 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 332229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

332229120 is an abundant number, since it is smaller than the sum of its proper divisors (740202240).

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

332229120 is a wasteful number, since it uses less digits than its factorization.

332229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 332229120 is about 18227.1533707269. The cubic root of 332229120 is about 692.5948086209.

The spelling of 332229120 in words is "three hundred thirty-two million, two hundred twenty-nine thousand, one hundred twenty".