214310525200 has 60 divisors (see below), whose sum is σ = 516205013220. Its totient is φ = 85503777280.

The previous prime is 214310525189. The next prime is 214310525227. The reversal of 214310525200 is 2525013412.

It can be written as a sum of positive squares in 6 ways, for example, as 58509804544 + 155800720656 = 241888^2 + 394716^2 .

It is a super-2 number, since 2×214310525200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 533059 + ... + 844258.

It is an arithmetic number, because the mean of its divisors is an integer number (8603416887).

Almost surely, 2^214310525200 is an apocalyptic number.

214310525200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214310525200 is an abundant number, since it is smaller than the sum of its proper divisors (301894488020).

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

214310525200 is a wasteful number, since it uses less digits than its factorization.

214310525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377724 (or 1377713 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 214310525200 its reverse (2525013412), we get a palindrome (216835538612).

The spelling of 214310525200 in words is "two hundred fourteen billion, three hundred ten million, five hundred twenty-five thousand, two hundred".