332100000 has 360 divisors, whose sum is σ = 1250568396. Its totient is φ = 86400000.

The previous prime is 332099983. The next prime is 332100007. The reversal of 332100000 is 1233.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 117418896 + 214681104 = 10836^2 + 14652^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×332100000² = 220580820000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332100007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8099980 + ... + 8100020.

Almost surely, 2^332100000 is an apocalyptic number.

332100000 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 332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625284198).

332100000 is an abundant number, since it is smaller than the sum of its proper divisors (918468396).

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

332100000 is an frugal number, since it uses more digits than its factorization.

332100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 332100000 is about 18223.6110581849. The cubic root of 332100000 is about 692.5050719261.

Adding to 332100000 its reverse (1233), we get a palindrome (332101233).

The spelling of 332100000 in words is "three hundred thirty-two million, one hundred thousand".