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223020002311320 = 233597187121414783
BaseRepresentation
bin110010101101010111100100…
…000000111111110010011000
31002020122111121102020112110110
4302231113210000333302120
5213212424431042430240
62110153550310044320
764655443363415124
oct6255274400776230
91066574542215413
10223020002311320
1165074285204665
122101a92b6496a0
1397599080a9486
143d103234a2584
151abb3de6dec80
hexcad5e403fc98

223020002311320 has 256 divisors, whose sum is σ = 676776170004480. Its totient is φ = 58787658547200.

The previous prime is 223020002311121. The next prime is 223020002311343. The reversal of 223020002311320 is 23113200020322.

It is a happy number.

223020002311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2230200023113203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46627637649 + ... + 46627642431.

It is an arithmetic number, because the mean of its divisors is an integer number (2643656914080).

Almost surely, 2223020002311320 is an apocalyptic number.

223020002311320 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 223020002311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338388085002240).

223020002311320 is an abundant number, since it is smaller than the sum of its proper divisors (453756167693160).

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

223020002311320 is a wasteful number, since it uses less digits than its factorization.

223020002311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223020002311320 its reverse (23113200020322), we get a palindrome (246133202331642).

The spelling of 223020002311320 in words is "two hundred twenty-three trillion, twenty billion, two million, three hundred eleven thousand, three hundred twenty".