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223113231000 = 233353112312203
BaseRepresentation
bin1100111111001010010…
…1011011101010011000
3210022220010220110211000
43033302211123222120
512123413441343000
6250255150505000
722055645113062
oct3176245335230
9708803813730
10223113231000
1186692669800
12372a8205160
13180689a521a
14ab27a46732
155c0c69e000
hex33f295ba98

223113231000 has 768 divisors, whose sum is σ = 877988966400. Its totient is φ = 52319520000.

The previous prime is 223113230971. The next prime is 223113231001. The reversal of 223113231000 is 132311322.

223113231000 is a `hidden beast` number, since 22 + 311 + 323 + 10 + 0 + 0 = 666.

It is a super-3 number, since 3×2231132310003 (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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113231001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101275899 + ... + 101278101.

It is an arithmetic number, because the mean of its divisors is an integer number (1143214800).

Almost surely, 2223113231000 is an apocalyptic number.

223113231000 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 223113231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438994483200).

223113231000 is an abundant number, since it is smaller than the sum of its proper divisors (654875735400).

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

223113231000 is a wasteful number, since it uses less digits than its factorization.

223113231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223113231000 its reverse (132311322), we get a palindrome (223245542322).

It can be divided in two parts, 2231 and 13231000, that added together give a palindrome (13233231).

The spelling of 223113231000 in words is "two hundred twenty-three billion, one hundred thirteen million, two hundred thirty-one thousand".