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223405040331 = 33113720329879
BaseRepresentation
bin1101000000001111111…
…0100110001011001011
3210100122110222220222000
43100003332212023023
512130013142242311
6250344133202043
722066120340124
oct3200376461313
9710573886860
10223405040331
1186822359440
1237369a90323
13180b4295b75
14ab546c704b
155c280e1056
hex3403fa62cb

223405040331 has 32 divisors (see below), whose sum is σ = 370817011200. Its totient is φ = 131737609440.

The previous prime is 223405040321. The next prime is 223405040333. The reversal of 223405040331 is 133040504322.

223405040331 is a `hidden beast` number, since 223 + 4 + 0 + 5 + 0 + 403 + 31 = 666.

223405040331 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 223405040331 - 27 = 223405040203 is a prime.

It is a super-2 number, since 2×2234050403312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223405040295 and 223405040304.

It is not an unprimeable number, because it can be changed into a prime (223405040333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10153951 + ... + 10175928.

It is an arithmetic number, because the mean of its divisors is an integer number (11588031600).

Almost surely, 2223405040331 is an apocalyptic number.

223405040331 is a deficient number, since it is larger than the sum of its proper divisors (147411970869).

223405040331 is a wasteful number, since it uses less digits than its factorization.

223405040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20329936 (or 20329930 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 223405040331 its reverse (133040504322), we get a palindrome (356445544653).

The spelling of 223405040331 in words is "two hundred twenty-three billion, four hundred five million, forty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 20329879 60989637 182968911 223628669 548906733 670886007 752205523 2012658021 2256616569 6037974063 6769849707 8274260753 20309549121 24822782259 74468346777 223405040331