224115072000 has 352 divisors, whose sum is σ = 750685665600. Its totient is φ = 59347763200.

The previous prime is 224115071969. The next prime is 224115072007. The reversal of 224115072000 is 270511422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224115072007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57214042 + ... + 57217958.

Almost surely, 2^224115072000 is an apocalyptic number.

224115072000 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 224115072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375342832800).

224115072000 is an abundant number, since it is smaller than the sum of its proper divisors (526570593600).

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

224115072000 is a wasteful number, since it uses less digits than its factorization.

224115072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 224115072000 its reverse (270511422), we get a palindrome (224385583422).

The spelling of 224115072000 in words is "two hundred twenty-four billion, one hundred fifteen million, seventy-two thousand".