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223332132 = 223294311489
BaseRepresentation
bin11010100111111…
…00011100100100
3120120020110002110
431103330130210
5424133112012
634054441020
75351202042
oct1523743444
9516213073
10223332132
11105079811
1262963170
13373662ba
1421937392
151491773c
hexd4fc724

223332132 has 48 divisors (see below), whose sum is σ = 540691200. Its totient is φ = 71662080.

The previous prime is 223332097. The next prime is 223332149. The reversal of 223332132 is 231233322.

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

It is a junction number, because it is equal to n+sod(n) for n = 223332099 and 223332108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149244 + ... + 150732.

It is an arithmetic number, because the mean of its divisors is an integer number (11264400).

Almost surely, 2223332132 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 223332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270345600).

223332132 is an abundant number, since it is smaller than the sum of its proper divisors (317359068).

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

223332132 is a wasteful number, since it uses less digits than its factorization.

223332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1954 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 223332132 is about 14944.3009873329. The cubic root of 223332132 is about 606.7136099944.

Adding to 223332132 its reverse (231233322), we get a palindrome (454565454).

The spelling of 223332132 in words is "two hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 431 862 1293 1489 1724 2586 2978 4467 5172 5956 8934 12499 17868 24998 37497 43181 49996 74994 86362 129543 149988 172724 259086 518172 641759 1283518 1925277 2567036 3850554 7701108 18611011 37222022 55833033 74444044 111666066 223332132