214724000700 has 216 divisors, whose sum is σ = 744569594496. Its totient is φ = 51320976000.

The previous prime is 214724000681. The next prime is 214724000713. The reversal of 214724000700 is 7000427412.

It is a happy number.

It is a super-2 number, since 2×214724000700² (a number of 23 digits) 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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550159 + ... + 855641.

It is an arithmetic number, because the mean of its divisors is an integer number (3447081456).

Almost surely, 2^214724000700 is an apocalyptic number.

214724000700 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 214724000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372284797248).

214724000700 is an abundant number, since it is smaller than the sum of its proper divisors (529845593796).

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

214724000700 is a wasteful number, since it uses less digits than its factorization.

214724000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305585 (or 305575 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 214724000700 in words is "two hundred fourteen billion, seven hundred twenty-four million, seven hundred", and thus it is an aban number.