193314816 has 240 divisors, whose sum is σ = 629126400. Its totient is φ = 58392576.

The previous prime is 193314811. The next prime is 193314827. The reversal of 193314816 is 618413391.

It is a super-2 number, since 2×193314816² = 74741236170227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193314811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8404981 + ... + 8405003.

It is an arithmetic number, because the mean of its divisors is an integer number (2621360).

Almost surely, 2^193314816 is an apocalyptic number.

193314816 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 193314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314563200).

193314816 is an abundant number, since it is smaller than the sum of its proper divisors (435811584).

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

193314816 is an equidigital number, since it uses as much as digits as its factorization.

193314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 193314816 is about 13903.7698484979. The cubic root of 193314816 is about 578.2137035395.

The spelling of 193314816 in words is "one hundred ninety-three million, three hundred fourteen thousand, eight hundred sixteen".