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42204122233 = 7213229349829
BaseRepresentation
bin100111010011100011…
…111100110001111001
311000221021111112210021
4213103203330301321
51142413223402413
631215512450441
73022600056100
oct472343746171
9130837445707
1042204122233
1116998143769
12821a0a9a21
133c978c82c0
1420851dd037
15117026a18d
hex9d38fcc79

42204122233 has 48 divisors (see below), whose sum is σ = 53318370000. Its totient is φ = 33111203328.

The previous prime is 42204122227. The next prime is 42204122237. The reversal of 42204122233 is 33222140224.

It can be written as a sum of positive squares in 8 ways, for example, as 2093245504 + 40110876729 = 45752^2 + 200277^2 .

It is not a de Polignac number, because 42204122233 - 233 = 33614187641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42204122198 and 42204122207.

It is not an unprimeable number, because it can be changed into a prime (42204122237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50909263 + ... + 50910091.

It is an arithmetic number, because the mean of its divisors is an integer number (1110799375).

Almost surely, 242204122233 is an apocalyptic number.

It is an amenable number.

42204122233 is a deficient number, since it is larger than the sum of its proper divisors (11114247767).

42204122233 is a wasteful number, since it uses less digits than its factorization.

42204122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42204122233 its reverse (33222140224), we get a palindrome (75426262457).

The spelling of 42204122233 in words is "forty-two billion, two hundred four million, one hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 7 13 49 91 229 349 637 829 1603 2443 2977 4537 5803 10777 11221 17101 20839 31759 40621 75439 79921 145873 189841 222313 289321 528073 559447 1038973 1328887 2025247 2467933 3761173 3916129 7272811 9302209 14176729 17275531 26328211 50909677 66254509 120928717 184297477 463781563 861308617 3246470941 6029160319 42204122233