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105287226 = 23112955009
BaseRepresentation
bin1100100011010…
…00111000111010
321100010010220220
412101220320322
5203423142401
614240400510
72415632562
oct621507072
9240103826
10105287226
1154482940
122b316136
1318a75245
14dda9da2
15939b336
hex6468e3a

105287226 has 32 divisors (see below), whose sum is σ = 237643200. Its totient is φ = 30804480.

The previous prime is 105287219. The next prime is 105287233. The reversal of 105287226 is 622782501.

It is an interprime number because it is at equal distance from previous prime (105287219) and next prime (105287233).

It is a super-2 number, since 2×1052872262 = 22170799917550152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25591 + ... + 29418.

It is an arithmetic number, because the mean of its divisors is an integer number (7426350).

Almost surely, 2105287226 is an apocalyptic number.

105287226 is an abundant number, since it is smaller than the sum of its proper divisors (132355974).

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

105287226 is a wasteful number, since it uses less digits than its factorization.

105287226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55054.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105287226 is about 10260.9563881736. The cubic root of 105287226 is about 472.1991791991.

The spelling of 105287226 in words is "one hundred five million, two hundred eighty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 55009 110018 165027 330054 605099 1210198 1595261 1815297 3190522 3630594 4785783 9571566 17547871 35095742 52643613 105287226