214416230700 has 144 divisors (see below), whose sum is σ = 710113549824. Its totient is φ = 48932659200.

The previous prime is 214416230689. The next prime is 214416230713. The reversal of 214416230700 is 7032614412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266457 + ... + 1425743.

It is an arithmetic number, because the mean of its divisors is an integer number (4931344096).

Almost surely, 2^214416230700 is an apocalyptic number.

214416230700 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 214416230700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355056774912).

214416230700 is an abundant number, since it is smaller than the sum of its proper divisors (495697319124).

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

214416230700 is a wasteful number, since it uses less digits than its factorization.

214416230700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159952 (or 159945 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 214416230700 in words is "two hundred fourteen billion, four hundred sixteen million, two hundred thirty thousand, seven hundred".