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10222317430 = 25131716192857
BaseRepresentation
bin10011000010100110…
…00010111101110110
3222101102002112022021
421201103002331312
5131413403124210
64410203423354
7511214156503
oct114123027566
928342075267
1010222317430
114376260426
121b93524b5a
13c6ba89950
146cd8b44aa
153ec674bda
hex2614c2f76

10222317430 has 64 divisors (see below), whose sum is σ = 21001498560. Its totient is φ = 3548934144.

The previous prime is 10222317383. The next prime is 10222317463. The reversal of 10222317430 is 3471322201.

It is a happy number.

10222317430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10222317395 and 10222317404.

It is a congruent number.

It is an unprimeable number.

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, 3576562 + ... + 3579418.

It is an arithmetic number, because the mean of its divisors is an integer number (328148415).

Almost surely, 210222317430 is an apocalyptic number.

10222317430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222317430 is an abundant number, since it is smaller than the sum of its proper divisors (10779181130).

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

10222317430 is a wasteful number, since it uses less digits than its factorization.

10222317430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513.

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 10222317430 its reverse (3471322201), we get a palindrome (13693639631).

The spelling of 10222317430 in words is "ten billion, two hundred twenty-two million, three hundred seventeen thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 1619 2210 2857 3238 5714 8095 14285 16190 21047 27523 28570 37141 42094 48569 55046 74282 97138 105235 137615 185705 210470 242845 275230 357799 371410 485690 631397 715598 1262794 1788995 3156985 3577990 4625483 6313970 9250966 23127415 46254830 60131279 78633211 120262558 157266422 300656395 393166055 601312790 786332110 1022231743 2044463486 5111158715 10222317430