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223232112 = 2434237489
BaseRepresentation
bin11010100111001…
…00000001110000
3120120001100220000
431103210001300
5424121411422
634052350000
75350304325
oct1523440160
9516040800
10223232112
11105010654
1262915300
133732c90c
142190cb4c
15148e7cac
hexd4e4070

223232112 has 100 divisors (see below), whose sum is σ = 674279760. Its totient is φ = 71165952.

The previous prime is 223232101. The next prime is 223232183. The reversal of 223232112 is 211232322.

It is a super-3 number, since 3×2232321123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 26064 + ... + 33552.

Almost surely, 2223232112 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 223232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337139880).

223232112 is an abundant number, since it is smaller than the sum of its proper divisors (451047648).

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

223232112 is a wasteful number, since it uses less digits than its factorization.

223232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7517 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 223232112 is about 14940.9541863965. The cubic root of 223232112 is about 606.6230236017.

Adding to 223232112 its reverse (211232322), we get a palindrome (434464434).

The spelling of 223232112 in words is "two hundred twenty-three million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 7489 9936 14904 14978 22467 29808 29956 44934 59912 67401 89868 119824 134802 172247 179736 202203 269604 344494 359472 404406 516741 539208 606609 688988 808812 1033482 1078416 1213218 1377976 1550223 1617624 2066964 2426436 2755952 3100446 3235248 4133928 4650669 4852872 6200892 8267856 9301338 9705744 12401784 13952007 18602676 24803568 27904014 37205352 55808028 74410704 111616056 223232112