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223223101320032 = 251131163586721391
BaseRepresentation
bin110010110000010100101101…
…101010001110101101100000
31002021100220211201212011201022
4302300110231222032231200
5213224241402414220112
62110431135502425012
765006223354461012
oct6260245552165540
91067326751764638
10223223101320032
116514242730a990
1221052170b92168
139772b044673c8
143d1a0acda01b2
151ac1829c63d72
hexcb052da8eb60

223223101320032 has 192 divisors, whose sum is σ = 498031849340928. Its totient is φ = 97568380224000.

The previous prime is 223223101319983. The next prime is 223223101320041. The reversal of 223223101320032 is 230023101322322.

It is a super-3 number, since 3×2232231013200323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223223101319983 and 223223101320010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10435364057 + ... + 10435385447.

It is an arithmetic number, because the mean of its divisors is an integer number (2593915881984).

Almost surely, 2223223101320032 is an apocalyptic number.

223223101320032 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 223223101320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249015924670464).

223223101320032 is an abundant number, since it is smaller than the sum of its proper divisors (274808748020896).

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

223223101320032 is a wasteful number, since it uses less digits than its factorization.

223223101320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27473 (or 27465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 223223101320032 its reverse (230023101322322), we get a palindrome (453246202642354).

The spelling of 223223101320032 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, one hundred one million, three hundred twenty thousand, thirty-two".