216192900 has 288 divisors, whose sum is σ = 799948800. Its totient is φ = 44688000.

The previous prime is 216192881. The next prime is 216192913. The reversal of 216192900 is 9291612.

It is a happy number.

216192900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1131805 + ... + 1131995.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2^216192900 is an apocalyptic number.

216192900 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 216192900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

216192900 is an abundant number, since it is smaller than the sum of its proper divisors (583755900).

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

216192900 is a wasteful number, since it uses less digits than its factorization.

216192900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 216192900 is about 14703.4995834325. The cubic root of 216192900 is about 600.1785579676.

The spelling of 216192900 in words is "two hundred sixteen million, one hundred ninety-two thousand, nine hundred".