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223032033 = 32713925469
BaseRepresentation
bin11010100101100…
…11001011100001
3120112200012102200
431102303023201
5424044011113
634044203413
75345512110
oct1522631341
9515605380
10223032033
111049942a4
1262839569
133728c823
1421899c77
15148a8873
hexd4b32e1

223032033 has 24 divisors (see below), whose sum is σ = 370843200. Its totient is φ = 126525024.

The previous prime is 223032023. The next prime is 223032059. The reversal of 223032033 is 330230322.

223032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223032033 - 29 = 223031521 is a prime.

It is a super-2 number, since 2×2230320332 = 99486575488226178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223031997 and 223032015.

It is not an unprimeable number, because it can be changed into a prime (223032023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3978 + ... + 21491.

It is an arithmetic number, because the mean of its divisors is an integer number (15451800).

Almost surely, 2223032033 is an apocalyptic number.

It is an amenable number.

223032033 is a deficient number, since it is larger than the sum of its proper divisors (147811167).

223032033 is a wasteful number, since it uses less digits than its factorization.

223032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25621 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 223032033 is about 14934.2570287243. The cubic root of 223032033 is about 606.4417342608.

Adding to 223032033 its reverse (330230322), we get a palindrome (553262355).

It can be divided in two parts, 22303 and 2033, that added together give a square (24336 = 1562).

The spelling of 223032033 in words is "two hundred twenty-three million, thirty-two thousand, thirty-three".

Divisors: 1 3 7 9 21 63 139 417 973 1251 2919 8757 25469 76407 178283 229221 534849 1604547 3540191 10620573 24781337 31861719 74344011 223032033