224000021024 has 96 divisors (see below), whose sum is σ = 492858036720. Its totient is φ = 99503050752.

The previous prime is 224000020961. The next prime is 224000021033. The reversal of 224000021024 is 420120000422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 95024227600 + 128975793424 = 308260^2 + 359132^2 .

224000021024 is a modest number, since divided by 21024 gives 2240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 224000020993 and 224000021011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795002 + ... + 3853574.

Almost surely, 2^224000021024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224000021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246429018360).

224000021024 is an abundant number, since it is smaller than the sum of its proper divisors (268858015696).

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

224000021024 is a wasteful number, since it uses less digits than its factorization.

224000021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58942 (or 58934 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 224000021024 its reverse (420120000422), we get a palindrome (644120021446).

The spelling of 224000021024 in words is "two hundred twenty-four billion, twenty-one thousand, twenty-four".