215332000 has 192 divisors, whose sum is σ = 589444128. Its totient is φ = 76800000.

The previous prime is 215331967. The next prime is 215332021. The reversal of 215332000 is 233512.

It can be written as a sum of positive squares in 16 ways, for example, as 32216976 + 183115024 = 5676^2 + 13532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131950 + ... + 2132050.

Almost surely, 2^215332000 is an apocalyptic number.

215332000 is a gapful number since it is divisible by the number (20) 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 215332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294722064).

215332000 is an abundant number, since it is smaller than the sum of its proper divisors (374112128).

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

215332000 is a wasteful number, since it uses less digits than its factorization.

215332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 215332000 is about 14674.1950375481. The cubic root of 215332000 is about 599.3808427751.

Adding to 215332000 its reverse (233512), we get a palindrome (215565512).

The spelling of 215332000 in words is "two hundred fifteen million, three hundred thirty-two thousand".