225724272340 has 192 divisors, whose sum is σ = 592085975040. Its totient is φ = 70538273280.

The previous prime is 225724272317. The next prime is 225724272349. The reversal of 225724272340 is 43272427522.

225724272340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225724272293 and 225724272302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225724272349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14257669 + ... + 14273491.

It is an arithmetic number, because the mean of its divisors is an integer number (3083781120).

Almost surely, 2^225724272340 is an apocalyptic number.

225724272340 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 225724272340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296042987520).

225724272340 is an abundant number, since it is smaller than the sum of its proper divisors (366361702700).

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

225724272340 is a wasteful number, since it uses less digits than its factorization.

225724272340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16062 (or 16060 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 40.

Adding to 225724272340 its reverse (43272427522), we get a palindrome (268996699862).

The spelling of 225724272340 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred seventy-two thousand, three hundred forty".