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223042032 = 24334312007
BaseRepresentation
bin11010100101101…
…01100111110000
3120112200201011000
431102311213300
5424044321112
634044322000
75345553213
oct1522654760
9515621130
10223042032
111049a0864
1262843300
1337294245
142189d77a
15148ab7dc
hexd4b59f0

223042032 has 80 divisors (see below), whose sum is σ = 655156480. Its totient is φ = 72612288.

The previous prime is 223042003. The next prime is 223042067. The reversal of 223042032 is 230240322.

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

It is a junction number, because it is equal to n+sod(n) for n = 223041996 and 223042014.

It is a congruent number.

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, 12573 + ... + 24579.

It is an arithmetic number, because the mean of its divisors is an integer number (8189456).

Almost surely, 2223042032 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 223042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327578240).

223042032 is an abundant number, since it is smaller than the sum of its proper divisors (432114448).

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

223042032 is a wasteful number, since it uses less digits than its factorization.

223042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223042032 is about 14934.5917922118. The cubic root of 223042032 is about 606.4507968159.

Adding to 223042032 its reverse (230240322), we get a palindrome (453282354).

It can be divided in two parts, 22304 and 2032, that added together give a square (24336 = 1562).

The spelling of 223042032 in words is "two hundred twenty-three million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 12007 18576 24014 36021 48028 72042 96056 108063 144084 192112 216126 288168 324189 432252 516301 576336 648378 864504 1032602 1296756 1548903 1729008 2065204 2593512 3097806 4130408 4646709 5187024 6195612 8260816 9293418 12391224 13940127 18586836 24782448 27880254 37173672 55760508 74347344 111521016 223042032