223231323414240 has 384 divisors, whose sum is σ = 789429454894080. Its totient is φ = 58910482814976.

The previous prime is 223231323414223. The next prime is 223231323414251. The reversal of 223231323414240 is 42414323132322.

223231323414240 is a `hidden beast` number, since 2 + 2 + 3 + 231 + 3 + 2 + 3 + 414 + 2 + 4 + 0 = 666.

223231323414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223231323414240³ (a number of 44 digits) contains 333 as substring.

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 = 223231323414195 and 223231323414204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659706534 + ... + 660044826.

It is an arithmetic number, because the mean of its divisors is an integer number (2055805872120).

Almost surely, 2^{223231323414240} is an apocalyptic number.

223231323414240 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 223231323414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394714727447040).

223231323414240 is an abundant number, since it is smaller than the sum of its proper divisors (566198131479840).

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

223231323414240 is a wasteful number, since it uses less digits than its factorization.

223231323414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339903 (or 339889 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 223231323414240 its reverse (42414323132322), we get a palindrome (265645646546562).

The spelling of 223231323414240 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, three hundred twenty-three million, four hundred fourteen thousand, two hundred forty".