216191400 has 96 divisors (see below), whose sum is σ = 678825600. Its totient is φ = 56908800.

The previous prime is 216191383. The next prime is 216191429. The reversal of 216191400 is 4191612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45120 + ... + 49680.

It is an arithmetic number, because the mean of its divisors is an integer number (7071100).

Almost surely, 2^216191400 is an apocalyptic number.

216191400 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 216191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339412800).

216191400 is an abundant number, since it is smaller than the sum of its proper divisors (462634200).

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

216191400 is a wasteful number, since it uses less digits than its factorization.

216191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 216191400 is about 14703.4485750792. The cubic root of 216191400 is about 600.1771699018.

The spelling of 216191400 in words is "two hundred sixteen million, one hundred ninety-one thousand, four hundred".