223224776320 has 768 divisors, whose sum is σ = 703261440000. Its totient is φ = 67065643008.

The previous prime is 223224776309. The next prime is 223224776321. The reversal of 223224776320 is 23677422322.

It is a happy number.

It is a super-3 number, since 3×223224776320³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (223224776321) 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, 933994761 + ... + 933994999.

It is an arithmetic number, because the mean of its divisors is an integer number (915705000).

Almost surely, 2^223224776320 is an apocalyptic number.

223224776320 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 223224776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720000).

223224776320 is an abundant number, since it is smaller than the sum of its proper divisors (480036663680).

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

223224776320 is a wasteful number, since it uses less digits than its factorization.

223224776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 223224776320 in words is "two hundred twenty-three billion, two hundred twenty-four million, seven hundred seventy-six thousand, three hundred twenty".