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107226 = 23272337
BaseRepresentation
bin11010001011011010
312110002100
4122023122
511412401
62144230
7624420
oct321332
9173070
10107226
1173619
1252076
1339a62
142b110
1521b86
hex1a2da

107226 has 48 divisors (see below), whose sum is σ = 284544. Its totient is φ = 28512.

The previous prime is 107209. The next prime is 107227. The reversal of 107226 is 622701.

It is a happy number.

It is a super-2 number, since 2×1072262 = 22994830152, 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 = 107199 and 107208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880 + ... + 2916.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2107226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142272).

107226 is an abundant number, since it is smaller than the sum of its proper divisors (177318).

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

107226 is a wasteful number, since it uses less digits than its factorization.

107226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

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

The square root of 107226 is about 327.4538135371. The cubic root of 107226 is about 47.5079949608.

Adding to 107226 its reverse (622701), we get a palindrome (729927).

It can be divided in two parts, 1072 and 26, that multiplied together give a palindrome (27872).

The spelling of 107226 in words is "one hundred seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 63 69 74 111 126 138 161 207 222 259 322 333 414 483 518 666 777 851 966 1449 1554 1702 2331 2553 2898 4662 5106 5957 7659 11914 15318 17871 35742 53613 107226