193905216 has 84 divisors (see below), whose sum is σ = 558619152. Its totient is φ = 64306944.

The previous prime is 193905199. The next prime is 193905233. The reversal of 193905216 is 612509391.

It is an interprime number because it is at equal distance from previous prime (193905199) and next prime (193905233).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130011 + ... + 131493.

It is an arithmetic number, because the mean of its divisors is an integer number (6650228).

Almost surely, 2^193905216 is an apocalyptic number.

193905216 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 193905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279309576).

193905216 is an abundant number, since it is smaller than the sum of its proper divisors (364713936).

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

193905216 is a wasteful number, since it uses less digits than its factorization.

193905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 193905216 is about 13924.9853141754. The cubic root of 193905216 is about 578.8017433566.

The spelling of 193905216 in words is "one hundred ninety-three million, nine hundred five thousand, two hundred sixteen".