224194314240 has 1200 divisors, whose sum is σ = 911207803968. Its totient is φ = 52319748096.

The previous prime is 224194314233. The next prime is 224194314241. The reversal of 224194314240 is 42413491422.

224194314240 is a `hidden beast` number, since 22 + 419 + 43 + 142 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 224194314195 and 224194314204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224194314241) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1984020424 + ... + 1984020536.

Almost surely, 2^224194314240 is an apocalyptic number.

224194314240 is a gapful number since it is divisible by the number (20) 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 224194314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455603901984).

224194314240 is an abundant number, since it is smaller than the sum of its proper divisors (687013489728).

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

224194314240 is a wasteful number, since it uses less digits than its factorization.

224194314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 224194314240 in words is "two hundred twenty-four billion, one hundred ninety-four million, three hundred fourteen thousand, two hundred forty".