193225248 has 72 divisors (see below), whose sum is σ = 564366348. Its totient is φ = 62664192.

The previous prime is 193225243. The next prime is 193225259. The reversal of 193225248 is 842522391.

It is a happy number.

193225248 is a `hidden beast` number, since 193 + 225 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186814224 + 6411024 = 13668^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (193225243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 19722.

Almost surely, 2^193225248 is an apocalyptic number.

193225248 is a gapful number since it is divisible by the number (18) 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 193225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282183174).

193225248 is an abundant number, since it is smaller than the sum of its proper divisors (371141100).

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

193225248 is a wasteful number, since it uses less digits than its factorization.

193225248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18175 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 193225248 is about 13900.5484783875. The cubic root of 193225248 is about 578.1243890444.

The spelling of 193225248 in words is "one hundred ninety-three million, two hundred twenty-five thousand, two hundred forty-eight".