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107000226 = 23237347463
BaseRepresentation
bin1100110000010…
…11000110100010
321110100011201100
412120023012202
5204343001401
614341215230
72436326004
oct630130642
9243304640
10107000226
1155442943
122ba01516
1319224b58
14102d4374
1595d8b86
hex660b1a2

107000226 has 48 divisors (see below), whose sum is σ = 239301504. Its totient is φ = 34528032.

The previous prime is 107000221. The next prime is 107000233. The reversal of 107000226 is 622000701.

It is a happy number.

It is a super-2 number, since 2×1070002262 = 22898096728102152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107000199 and 107000208.

It is not an unprimeable number, because it can be changed into a prime (107000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230871 + ... + 231333.

It is an arithmetic number, because the mean of its divisors is an integer number (4985448).

Almost surely, 2107000226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107000226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119650752).

107000226 is an abundant number, since it is smaller than the sum of its proper divisors (132301278).

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

107000226 is a wasteful number, since it uses less digits than its factorization.

107000226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107000226 is about 10344.0913569052. The cubic root of 107000226 is about 474.7462740969.

Adding to 107000226 its reverse (622000701), we get a palindrome (729000927).

The spelling of 107000226 in words is "one hundred seven million, two hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 333 347 463 666 694 926 1041 1389 2082 2778 3123 4167 6246 8334 12839 17131 25678 34262 38517 51393 77034 102786 115551 154179 160661 231102 308358 321322 481983 963966 1445949 2891898 5944457 11888914 17833371 35666742 53500113 107000226