225220232343040 has 240 divisors, whose sum is σ = 602413563595536. Its totient is φ = 80675896688640.

The previous prime is 225220232343013. The next prime is 225220232343131. The reversal of 225220232343040 is 40343232022522.

225220232343040 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 = 225220232342987 and 225220232343005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15327952 + ... + 26179888.

Almost surely, 2^{225220232343040} is an apocalyptic number.

225220232343040 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 225220232343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301206781797768).

225220232343040 is an abundant number, since it is smaller than the sum of its proper divisors (377193331252496).

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

225220232343040 is a wasteful number, since it uses less digits than its factorization.

225220232343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10852049 (or 10852022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 225220232343040 its reverse (40343232022522), we get a palindrome (265563464365562).

The spelling of 225220232343040 in words is "two hundred twenty-five trillion, two hundred twenty billion, two hundred thirty-two million, three hundred forty-three thousand, forty".