193412224 has 64 divisors (see below), whose sum is σ = 403430400. Its totient is φ = 92252160.

The previous prime is 193412201. The next prime is 193412243. The reversal of 193412224 is 422214391.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 193412192 and 193412201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313164 + ... + 313780.

It is an arithmetic number, because the mean of its divisors is an integer number (6303600).

Almost surely, 2^193412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201715200).

193412224 is an abundant number, since it is smaller than the sum of its proper divisors (210018176).

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

193412224 is an equidigital number, since it uses as much as digits as its factorization.

193412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 193412224 is about 13907.2723421956. The cubic root of 193412224 is about 578.3108045347.

It can be divided in two parts, 1 and 93412224, that added together give a square (93412225 = 9665²).

The spelling of 193412224 in words is "one hundred ninety-three million, four hundred twelve thousand, two hundred twenty-four".