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223031332233344 = 27192399710213917
BaseRepresentation
bin110010101101100010000111…
…010101001110000010000000
31002020200120212000111012122002
4302231202013111032002000
5213213121132022431334
62110203102441403132
764656324220232555
oct6255420725160200
91066616760435562
10223031332233344
11650790696a3788
1221020b71a994a8
13975a9c247a24b
143d10aba0d4a2c
151abb8541edb7e
hexcad88754e080

223031332233344 has 256 divisors, whose sum is σ = 489133363219200. Its totient is φ = 100827117895680.

The previous prime is 223031332233323. The next prime is 223031332233361. The reversal of 223031332233344 is 443332233130322.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 223031332233298 and 223031332233307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56939322074 + ... + 56939325990.

It is an arithmetic number, because the mean of its divisors is an integer number (1910677200075).

Almost surely, 2223031332233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223031332233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244566681609600).

223031332233344 is an abundant number, since it is smaller than the sum of its proper divisors (266102030985856).

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

223031332233344 is a wasteful number, since it uses less digits than its factorization.

223031332233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 38.

Adding to 223031332233344 its reverse (443332233130322), we get a palindrome (666363565363666).

The spelling of 223031332233344 in words is "two hundred twenty-three trillion, thirty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred forty-four".