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223300032 = 2631737432
BaseRepresentation
bin11010100111101…
…00100111000000
3120120011211001120
431103310213000
5424131100112
634054032240
75351006334
oct1523644700
9516154046
10223300032
1110505768a
1262948680
13373547c7
14219297c4
151490ce8c
hexd4f49c0

223300032 has 168 divisors, whose sum is σ = 657764496. Its totient is φ = 66576384.

The previous prime is 223300019. The next prime is 223300039. The reversal of 223300032 is 230003322.

It is a junction number, because it is equal to n+sod(n) for n = 223299984 and 223300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223300039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5193003 + ... + 5193045.

Almost surely, 2223300032 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 223300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328882248).

223300032 is an abundant number, since it is smaller than the sum of its proper divisors (434464464).

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

223300032 is a wasteful number, since it uses less digits than its factorization.

223300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 223300032 is about 14943.2269607337. The cubic root of 223300032 is about 606.6845405245.

Adding to 223300032 its reverse (230003322), we get a palindrome (453303354).

The spelling of 223300032 in words is "two hundred twenty-three million, three hundred thousand, thirty-two".