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223808312 = 237132910601
BaseRepresentation
bin11010101011100…
…00101100111000
3120121010122021202
431111300230320
5424243331222
634112553332
75355224240
oct1525605470
9517118252
10223808312
11105374552
1262b52848
13374a1c70
1421a1cb20
15149ad892
hexd570b38

223808312 has 64 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 85478400.

The previous prime is 223808311. The next prime is 223808317. The reversal of 223808312 is 213808322.

223808312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223808311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15812 + ... + 26412.

It is an arithmetic number, because the mean of its divisors is an integer number (8349075).

Almost surely, 2223808312 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 223808312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

223808312 is an abundant number, since it is smaller than the sum of its proper divisors (310532488).

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

223808312 is a wasteful number, since it uses less digits than its factorization.

223808312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 223808312 is about 14960.2243298689. The cubic root of 223808312 is about 607.1445075348.

The spelling of 223808312 in words is "two hundred twenty-three million, eight hundred eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2639 3016 5278 10556 10601 21112 21202 42404 74207 84808 137813 148414 275626 296828 307429 551252 593656 614858 964691 1102504 1229716 1929382 2152003 2459432 3858764 3996577 4304006 7717528 7993154 8608012 15986308 17216024 27976039 31972616 55952078 111904156 223808312