314512200 has 96 divisors (see below), whose sum is σ = 1083338400. Its totient is φ = 83868480.

The previous prime is 314512199. The next prime is 314512201. The reversal of 314512200 is 2215413.

It is an interprime number because it is at equal distance from previous prime (314512199) and next prime (314512201).

It is a super-3 number, since 3×314512200³ (a number of 26 digits) contains 333 as substring.

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 (314512201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23722 + ... + 34521.

It is an arithmetic number, because the mean of its divisors is an integer number (11284775).

Almost surely, 2^314512200 is an apocalyptic number.

314512200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314512200 is an abundant number, since it is smaller than the sum of its proper divisors (768826200).

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

314512200 is a wasteful number, since it uses less digits than its factorization.

314512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268 (or 58253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314512200 is about 17734.4918167959. The cubic root of 314512200 is about 680.0578093875.

Adding to 314512200 its reverse (2215413), we get a palindrome (316727613).

The spelling of 314512200 in words is "three hundred fourteen million, five hundred twelve thousand, two hundred".