224271117312 has 352 divisors, whose sum is σ = 687436706304. Its totient is φ = 64339968000.

The previous prime is 224271117307. The next prime is 224271117319. The reversal of 224271117312 is 213711172422.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×224271117312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (224271117319) 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, 78497388 + ... + 78500244.

Almost surely, 2^224271117312 is an apocalyptic number.

224271117312 is a gapful number since it is divisible by the number (22) 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 224271117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343718353152).

224271117312 is an abundant number, since it is smaller than the sum of its proper divisors (463165588992).

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

224271117312 is a wasteful number, since it uses less digits than its factorization.

224271117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2997 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

Adding to 224271117312 its reverse (213711172422), we get a palindrome (437982289734).

The spelling of 224271117312 in words is "two hundred twenty-four billion, two hundred seventy-one million, one hundred seventeen thousand, three hundred twelve".