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105226614 = 2341394673
BaseRepresentation
bin1100100010110…
…10000101110110
321100000001210000
412101122011312
5203414222424
614235212130
72415261063
oct621320566
9240001700
10105226614
1154441349
122b2a7046
1318a5378c
14dd91c6a
1593883c9
hex645a176

105226614 has 40 divisors (see below), whose sum is σ = 237532680. Its totient is φ = 34815744.

The previous prime is 105226609. The next prime is 105226637. The reversal of 105226614 is 416622501.

It is a super-2 number, since 2×1052266142 = 22145280587809992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 20182 + ... + 24854.

It is an arithmetic number, because the mean of its divisors is an integer number (5938317).

Almost surely, 2105226614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105226614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118766340).

105226614 is an abundant number, since it is smaller than the sum of its proper divisors (132306066).

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

105226614 is a wasteful number, since it uses less digits than its factorization.

105226614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105226614 is about 10258.0024371220. The cubic root of 105226614 is about 472.1085495577.

The spelling of 105226614 in words is "one hundred five million, two hundred twenty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3753 4673 7506 9346 11259 14019 22518 28038 42057 84114 126171 252342 378513 649547 757026 1299094 1948641 3897282 5845923 11691846 17537769 35075538 52613307 105226614