215505000 has 120 divisors (see below), whose sum is σ = 729493050. Its totient is φ = 57456000.

The previous prime is 215504999. The next prime is 215505007. The reversal of 215505000 is 505512.

It can be written as a sum of positive squares in 5 ways, for example, as 4848804 + 210656196 = 2202^2 + 14514^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (215505007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42606 + ... + 47394.

Almost surely, 2^215505000 is an apocalyptic number.

215505000 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 215505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364746525).

215505000 is an abundant number, since it is smaller than the sum of its proper divisors (513988050).

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

215505000 is a wasteful number, since it uses less digits than its factorization.

215505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 215505000 is about 14680.0885555912. The cubic root of 215505000 is about 599.5413161045.

The spelling of 215505000 in words is "two hundred fifteen million, five hundred five thousand".