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223223412033 = 349728410769
BaseRepresentation
bin1100111111100100100…
…1101111010101000001
3210100011211020020210000
43033321021233111001
512124130143141113
6250314124230213
722061453460426
oct3177111572501
9710154206700
10223223412033
1186739884406
123731909b369
1318085771abb
14ab38527d4d
155c171b5373
hex33f926f541

223223412033 has 20 divisors (see below), whose sum is σ = 336894910660. Its totient is φ = 147281421312.

The previous prime is 223223411987. The next prime is 223223412047. The reversal of 223223412033 is 330214322322.

223223412033 is a `hidden beast` number, since 2 + 23 + 223 + 412 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43623752769 + 179599659264 = 208863^2 + 423792^2 .

It is not a de Polignac number, because 223223412033 - 221 = 223221314881 is a prime.

It is a super-3 number, since 3×2232234120333 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223223411988 and 223223412006.

It is not an unprimeable number, because it can be changed into a prime (223223612033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14197528 + ... + 14213241.

It is an arithmetic number, because the mean of its divisors is an integer number (16844745533).

Almost surely, 2223223412033 is an apocalyptic number.

It is an amenable number.

223223412033 is a deficient number, since it is larger than the sum of its proper divisors (113671498627).

223223412033 is an equidigital number, since it uses as much as digits as its factorization.

223223412033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410878 (or 28410869 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223223412033 its reverse (330214322322), we get a palindrome (553437734355).

The spelling of 223223412033 in words is "two hundred twenty-three billion, two hundred twenty-three million, four hundred twelve thousand, thirty-three".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 28410769 85232307 255696921 767090763 2301272289 2755844593 8267533779 24802601337 74407804011 223223412033