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105722226 = 2332967511
BaseRepresentation
bin1100100110100…
…11000101110010
321100221020122000
412103103011302
5204031102401
614253554430
72422424031
oct623230562
9240836560
10105722226
115474a745
122b4a5a16
1318b9823c
1410080718
159435186
hex64d3172

105722226 has 32 divisors (see below), whose sum is σ = 243043200. Its totient is φ = 34025040.

The previous prime is 105722219. The next prime is 105722257. The reversal of 105722226 is 622227501.

It is a super-2 number, since 2×1057222262 = 22354378140790152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105722226.

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, 32190 + ... + 35321.

It is an arithmetic number, because the mean of its divisors is an integer number (7595100).

Almost surely, 2105722226 is an apocalyptic number.

105722226 is an abundant number, since it is smaller than the sum of its proper divisors (137320974).

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

105722226 is a wasteful number, since it uses less digits than its factorization.

105722226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67551 (or 67545 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105722226 is about 10282.1313938308. The cubic root of 105722226 is about 472.8485913367.

Adding to 105722226 its reverse (622227501), we get a palindrome (727949727).

The spelling of 105722226 in words is "one hundred five million, seven hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 67511 135022 202533 405066 607599 1215198 1822797 1957819 3645594 3915638 5873457 11746914 17620371 35240742 52861113 105722226