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10222646142 = 231732391451
BaseRepresentation
bin10011000010101000…
…10011001101111110
3222101102201020012210
421201110103031332
5131413444134032
64410214441250
7511220026032
oct114124231576
928342636183
1010222646142
114376465395
121b93663226
13c6bb73457
146cd95c1c2
153ec6dc2cc
hex26151337e

10222646142 has 64 divisors (see below), whose sum is σ = 21828787200. Its totient is φ = 3191484800.

The previous prime is 10222646141. The next prime is 10222646173. The reversal of 10222646142 is 24164622201.

10222646142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222646141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7044517 + ... + 7045967.

It is an arithmetic number, because the mean of its divisors is an integer number (341074800).

Almost surely, 210222646142 is an apocalyptic number.

10222646142 is an abundant number, since it is smaller than the sum of its proper divisors (11606141058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222646142 is a wasteful number, since it uses less digits than its factorization.

10222646142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10222646142 in words is "ten billion, two hundred twenty-two million, six hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 239 289 478 578 717 867 1434 1451 1734 2902 4063 4353 4913 8126 8706 9826 12189 14739 24378 24667 29478 49334 69071 74001 138142 148002 207213 346789 414426 419339 693578 838678 1040367 1174207 1258017 2080734 2348414 2516034 3522621 5895413 7045242 7128763 11790826 14257526 17686239 21386289 35372478 42772578 100222021 200444042 300666063 601332126 1703774357 3407548714 5111323071 10222646142