224240050944 has 1152 divisors, whose sum is σ = 879852718080. Its totient is φ = 54655451136.

The previous prime is 224240050933. The next prime is 224240050987. The reversal of 224240050944 is 449050042422.

224240050944 is a `hidden beast` number, since 2 + 242 + 400 + 5 + 0 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×224240050944² (a number of 24 digits) contains 22 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 = 224240050899 and 224240050908.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 716421732 + ... + 716422044.

It is an arithmetic number, because the mean of its divisors is an integer number (763761040).

Almost surely, 2^224240050944 is an apocalyptic number.

224240050944 is a gapful number since it is divisible by the number (24) 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 224240050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439926359040).

224240050944 is an abundant number, since it is smaller than the sum of its proper divisors (655612667136).

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

224240050944 is a wasteful number, since it uses less digits than its factorization.

224240050944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 224240050944 in words is "two hundred twenty-four billion, two hundred forty million, fifty thousand, nine hundred forty-four".