193311216 has 240 divisors, whose sum is σ = 678974400. Its totient is φ = 50061312.

The previous prime is 193311197. The next prime is 193311221. The reversal of 193311216 is 612113391.

193311216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 193311216.

It is a congruent number.

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, 496750 + ... + 497138.

It is an arithmetic number, because the mean of its divisors is an integer number (2829060).

Almost surely, 2^193311216 is an apocalyptic number.

193311216 is a gapful number since it is divisible by the number (16) 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 193311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339487200).

193311216 is an abundant number, since it is smaller than the sum of its proper divisors (485663184).

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

193311216 is a wasteful number, since it uses less digits than its factorization.

193311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 193311216 is about 13903.6403866038. The cubic root of 193311216 is about 578.2101142608.

The spelling of 193311216 in words is "one hundred ninety-three million, three hundred eleven thousand, two hundred sixteen".