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118826226 = 23217577673
BaseRepresentation
bin1110001010100…
…10010011110010
322021120222221100
413011102103302
5220404414401
615442505230
72642002101
oct705222362
9267528840
10118826226
116108a9a2
1233965216
131b80589c
1411ad2038
15a672b86
hex71524f2

118826226 has 48 divisors (see below), whose sum is σ = 273479544. Its totient is φ = 37158912.

The previous prime is 118826221. The next prime is 118826233. The reversal of 118826226 is 622628811.

It can be written as a sum of positive squares in 4 ways, for example, as 118788201 + 38025 = 10899^2 + 195^2 .

It is a super-3 number, since 3×1188262263 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (118826221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176226 + ... + 176898.

Almost surely, 2118826226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118826226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136739772).

118826226 is an abundant number, since it is smaller than the sum of its proper divisors (154653318).

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

118826226 is a wasteful number, since it uses less digits than its factorization.

118826226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1272 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 118826226 is about 10900.7442865155. The cubic root of 118826226 is about 491.6289339743.

The spelling of 118826226 in words is "one hundred eighteen million, eight hundred twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 577 673 1154 1346 1731 2019 3462 4038 5193 6057 9809 10386 11441 12114 19618 22882 29427 34323 58854 68646 88281 102969 176562 205938 388321 776642 1164963 2329926 3494889 6601457 6989778 13202914 19804371 39608742 59413113 118826226