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223103312 = 24234391381
BaseRepresentation
bin11010100110001…
…00100101010000
3120112210211012122
431103010211100
5424103301222
634045513412
75346226655
oct1523044520
9515724178
10223103312
11104a32903
1262872868
13372b60c3
14218b7c2c
15148bea42
hexd4c4950

223103312 has 40 divisors (see below), whose sum is σ = 452411520. Its totient is φ = 106381440.

The previous prime is 223103299. The next prime is 223103317. The reversal of 223103312 is 213301322.

It is a super-3 number, since 3×2231033123 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223103317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160862 + ... + 162242.

It is an arithmetic number, because the mean of its divisors is an integer number (11310288).

Almost surely, 2223103312 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 223103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226205760).

223103312 is an abundant number, since it is smaller than the sum of its proper divisors (229308208).

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

223103312 is a wasteful number, since it uses less digits than its factorization.

223103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 223103312 is about 14936.6432641340. The cubic root of 223103312 is about 606.5063317922.

Adding to 223103312 its reverse (213301322), we get a palindrome (436404634).

The spelling of 223103312 in words is "two hundred twenty-three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 439 878 1381 1756 2762 3512 5524 7024 10097 11048 20194 22096 31763 40388 63526 80776 127052 161552 254104 508208 606259 1212518 2425036 4850072 9700144 13943957 27887914 55775828 111551656 223103312