Search a number
-
+
226426266 = 23411612083
BaseRepresentation
bin11010111111011…
…11110110011010
3120210001122110000
431133233312122
5430431120031
634245033430
75416406613
oct1537576632
9523048400
10226426266
111068a2450
12639b5876
1337baa751
1422100c0a
1514d293e6
hexd7efd9a

226426266 has 80 divisors (see below), whose sum is σ = 562830048. Its totient is φ = 67456800.

The previous prime is 226426259. The next prime is 226426279. The reversal of 226426266 is 662624622.

It is a happy number.

226426266 is a `hidden beast` number, since 2 + 2 + 642 + 6 + 2 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226426266.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107661 + ... + 109743.

Almost surely, 2226426266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226426266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281415024).

226426266 is an abundant number, since it is smaller than the sum of its proper divisors (336403782).

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

226426266 is a wasteful number, since it uses less digits than its factorization.

226426266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2160 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 226426266 is about 15047.4670958271. The cubic root of 226426266 is about 609.5026547239.

The spelling of 226426266 in words is "two hundred twenty-six million, four hundred twenty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 297 366 549 594 671 891 1098 1342 1647 1782 2013 2083 3294 4026 4166 4941 6039 6249 9882 12078 12498 18117 18747 22913 36234 37494 45826 54351 56241 68739 108702 112482 127063 137478 168723 206217 254126 337446 381189 412434 618651 762378 1143567 1237302 1397693 1855953 2287134 2795386 3430701 3711906 4193079 6861402 8386158 10292103 12579237 20584206 25158474 37737711 75475422 113213133 226426266