224975283941520 has 480 divisors, whose sum is σ = 915106897624320. Its totient is φ = 49764114892800.

The previous prime is 224975283941461. The next prime is 224975283941521. The reversal of 224975283941520 is 25149382579422.

It is a happy number.

224975283941520 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 7 + 528 + 3 + 94 + 15 + 2 + 0 = 666.

It is a super-2 number, since 2×224975283941520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (224975283941521) 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, 6788740 + ... + 22271900.

It is an arithmetic number, because the mean of its divisors is an integer number (1906472703384).

Almost surely, 2^{224975283941520} is an apocalyptic number.

224975283941520 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 224975283941520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457553448812160).

224975283941520 is an abundant number, since it is smaller than the sum of its proper divisors (690131613682800).

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

224975283941520 is a wasteful number, since it uses less digits than its factorization.

224975283941520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483252 (or 15483209 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 224975283941520 in words is "two hundred twenty-four trillion, nine hundred seventy-five billion, two hundred eighty-three million, nine hundred forty-one thousand, five hundred twenty".