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223223330331 = 3322033752851
BaseRepresentation
bin1100111111100100100…
…1011011011000011011
3210100011211002002201000
43033321021123120123
512124130133032311
6250314122400043
722061453000301
oct3177111333033
9710154062630
10223223330331
1186739828a91
1237319060023
1318085743861
14ab38506271
155c1719b056
hex33f925b61b

223223330331 has 16 divisors (see below), whose sum is σ = 330851432320. Its totient is φ = 148747962600.

The previous prime is 223223330303. The next prime is 223223330333. The reversal of 223223330331 is 133033322322.

223223330331 is a `hidden beast` number, since 2 + 2 + 322 + 3 + 3 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 223223330331 - 27 = 223223330203 is a prime.

It is a super-3 number, since 3×2232233303313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223223330295 and 223223330304.

It is not an unprimeable number, because it can be changed into a prime (223223330333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816945 + ... + 1935906.

It is an arithmetic number, because the mean of its divisors is an integer number (20678214520).

Almost surely, 2223223330331 is an apocalyptic number.

223223330331 is a deficient number, since it is larger than the sum of its proper divisors (107628101989).

223223330331 is a wasteful number, since it uses less digits than its factorization.

223223330331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755063 (or 3755057 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 223223330331 its reverse (133033322322), we get a palindrome (356256652653).

The spelling of 223223330331 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 2203 6609 19827 59481 3752851 11258553 33775659 101326977 8267530753 24802592259 74407776777 223223330331