224247221640 has 384 divisors, whose sum is σ = 813541528800. Its totient is φ = 53214713856.

The previous prime is 224247221599. The next prime is 224247221641. The reversal of 224247221640 is 46122742422.

224247221640 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 7 + 2 + 2 + 1 + 640 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 15385425444 + 208861796196 = 124038^2 + 457014^2 .

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 = 224247221595 and 224247221604.

It is not an unprimeable number, because it can be changed into a prime (224247221641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057313906 + ... + 2057314014.

Almost surely, 2^224247221640 is an apocalyptic number.

224247221640 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 224247221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406770764400).

224247221640 is an abundant number, since it is smaller than the sum of its proper divisors (589294307160).

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

224247221640 is a wasteful number, since it uses less digits than its factorization.

224247221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 224247221640 in words is "two hundred twenty-four billion, two hundred forty-seven million, two hundred twenty-one thousand, six hundred forty".