Search a number
-
+
71108226 = 2337238179
BaseRepresentation
bin1000011110100…
…00011010000010
311221210200011000
410033100122002
5121200430401
611020032430
71522260420
oct417203202
9157720130
1071108226
1137158732
121b992716
1311969097
149630110
156399186
hex43d0682

71108226 has 64 divisors (see below), whose sum is σ = 188467200. Its totient is φ = 19430928.

The previous prime is 71108201. The next prime is 71108237. The reversal of 71108226 is 62280117.

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 71108226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4605 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (2944800).

Almost surely, 271108226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71108226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94233600).

71108226 is an abundant number, since it is smaller than the sum of its proper divisors (117358974).

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

71108226 is a wasteful number, since it uses less digits than its factorization.

71108226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71108226 is about 8432.5693593353. The cubic root of 71108226 is about 414.2920644403.

The spelling of 71108226 in words is "seventy-one million, one hundred eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8179 8694 16358 24537 49074 57253 73611 114506 147222 171759 188117 220833 343518 376234 441666 515277 564351 1030554 1128702 1316819 1545831 1693053 2633638 3091662 3386106 3950457 5079159 7900914 10158318 11851371 23702742 35554113 71108226