223880736240 has 480 divisors, whose sum is σ = 900592834560. Its totient is φ = 50076486144.

The previous prime is 223880736229. The next prime is 223880736251. The reversal of 223880736240 is 42637088322.

223880736240 is a `hidden beast` number, since 22 + 388 + 0 + 7 + 3 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (223880736229) and next prime (223880736251).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33396729 + ... + 33403431.

It is an arithmetic number, because the mean of its divisors is an integer number (1876235072).

Almost surely, 2^223880736240 is an apocalyptic number.

223880736240 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 223880736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450296417280).

223880736240 is an abundant number, since it is smaller than the sum of its proper divisors (676712098320).

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

223880736240 is a wasteful number, since it uses less digits than its factorization.

223880736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 223880736240 in words is "two hundred twenty-three billion, eight hundred eighty million, seven hundred thirty-six thousand, two hundred forty".