214525000 has 48 divisors (see below), whose sum is σ = 502819380. Its totient is φ = 85800000.

The previous prime is 214524943. The next prime is 214525019. The reversal of 214525000 is 525412.

It can be written as a sum of positive squares in 6 ways, for example, as 97495876 + 117029124 = 9874^2 + 10818^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20710 + ... + 29290.

Almost surely, 2^214525000 is an apocalyptic number.

214525000 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 214525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251409690).

214525000 is an abundant number, since it is smaller than the sum of its proper divisors (288294380).

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

214525000 is an frugal number, since it uses more digits than its factorization.

214525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 214525000 is about 14646.6719769373. The cubic root of 214525000 is about 598.6311386653.

The spelling of 214525000 in words is "two hundred fourteen million, five hundred twenty-five thousand".