210114400 has 36 divisors (see below), whose sum is σ = 512943732. Its totient is φ = 84045440.

The previous prime is 210114389. The next prime is 210114413. The reversal of 210114400 is 4411012.

It is a super-2 number, since 2×210114400² = 88296122174720000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 130522 + ... + 132121.

It is an arithmetic number, because the mean of its divisors is an integer number (14248437).

Almost surely, 2^210114400 is an apocalyptic number.

210114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210114400 is an abundant number, since it is smaller than the sum of its proper divisors (302829332).

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

210114400 is a wasteful number, since it uses less digits than its factorization.

210114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262663 (or 262650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 210114400 is about 14495.3233837676. The cubic root of 210114400 is about 594.5001097576.

Adding to 210114400 its reverse (4411012), we get a palindrome (214525412).

The spelling of 210114400 in words is "two hundred ten million, one hundred fourteen thousand, four hundred".