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105224226 = 23371573019
BaseRepresentation
bin1100100010110…
…01100000100010
321022222221111120
412101121200202
5203414133401
614235153110
72415251112
oct621314042
9238887446
10105224226
115443a578
122b2a5796
1318a52673
14dd91042
159387836
hex6459822

105224226 has 32 divisors (see below), whose sum is σ = 217584960. Its totient is φ = 33898176.

The previous prime is 105224219. The next prime is 105224227. The reversal of 105224226 is 622422501.

It is a happy number.

It is a super-2 number, since 2×1052242262 = 22144275474598152, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105224196 and 105224205.

It is not an unprimeable number, because it can be changed into a prime (105224227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33345 + ... + 36363.

It is an arithmetic number, because the mean of its divisors is an integer number (6799530).

Almost surely, 2105224226 is an apocalyptic number.

105224226 is an abundant number, since it is smaller than the sum of its proper divisors (112360734).

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

105224226 is a wasteful number, since it uses less digits than its factorization.

105224226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105224226 is about 10257.8860395308. The cubic root of 105224226 is about 472.1049782060.

Adding to 105224226 its reverse (622422501), we get a palindrome (727646727).

The spelling of 105224226 in words is "one hundred five million, two hundred twenty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 37 74 111 157 222 314 471 942 3019 5809 6038 9057 11618 17427 18114 34854 111703 223406 335109 473983 670218 947966 1421949 2843898 17537371 35074742 52612113 105224226