224967021312 has 288 divisors, whose sum is σ = 666094141440. Its totient is φ = 66833141760.

The previous prime is 224967021289. The next prime is 224967021313. The reversal of 224967021312 is 213120769422.

It is a super-2 number, since 2×224967021312² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224967021313) 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, 135276993 + ... + 135278655.

It is an arithmetic number, because the mean of its divisors is an integer number (2312826880).

Almost surely, 2^224967021312 is an apocalyptic number.

224967021312 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 224967021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333047070720).

224967021312 is an abundant number, since it is smaller than the sum of its proper divisors (441127120128).

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

224967021312 is a wasteful number, since it uses less digits than its factorization.

224967021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 224967021312 in words is "two hundred twenty-four billion, nine hundred sixty-seven million, twenty-one thousand, three hundred twelve".