214215080 has 48 divisors (see below), whose sum is σ = 489695220. Its totient is φ = 84336384.

The previous prime is 214214951. The next prime is 214215109. The reversal of 214215080 is 80512412.

It can be written as a sum of positive squares in 2 ways, for example, as 213335236 + 879844 = 14606^2 + 938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178964 + ... + 180156.

Almost surely, 2^214215080 is an apocalyptic number.

214215080 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 214215080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244847610).

214215080 is an abundant number, since it is smaller than the sum of its proper divisors (275480140).

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

214215080 is a wasteful number, since it uses less digits than its factorization.

214215080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 214215080 is about 14636.0882752189. The cubic root of 214215080 is about 598.3427228986.

Adding to 214215080 its reverse (80512412), we get a palindrome (294727492).

The spelling of 214215080 in words is "two hundred fourteen million, two hundred fifteen thousand, eighty".