232504101152220 has 768 divisors, whose sum is σ = 738442801152000. Its totient is φ = 54371265822720.

The previous prime is 232504101152203. The next prime is 232504101152231. The reversal of 232504101152220 is 22251101405232.

It is a super-2 number, since 2×232504101152220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110768984731 + ... + 110768986829.

It is an arithmetic number, because the mean of its divisors is an integer number (961514064000).

Almost surely, 2^{232504101152220} is an apocalyptic number.

232504101152220 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 232504101152220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369221400576000).

232504101152220 is an abundant number, since it is smaller than the sum of its proper divisors (505938699999780).

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

232504101152220 is a wasteful number, since it uses less digits than its factorization.

232504101152220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 232504101152220 its reverse (22251101405232), we get a palindrome (254755202557452).

The spelling of 232504101152220 in words is "two hundred thirty-two trillion, five hundred four billion, one hundred one million, one hundred fifty-two thousand, two hundred twenty".