Search a number
-
+
226223082 = 232192692459
BaseRepresentation
bin11010111101111…
…10001111101010
3120202200022201200
431132332033222
5430403114312
634240425030
75414602341
oct1536761752
9522608650
10226223082
11106773828
1263918176
1337b39117
142208ab58
1514cd90dc
hexd7be3ea

226223082 has 48 divisors (see below), whose sum is σ = 518076000. Its totient is φ = 71144352.

The previous prime is 226223077. The next prime is 226223083. The reversal of 226223082 is 280322622.

It is a happy number.

226223082 is a `hidden beast` number, since 2 + 2 + 622 + 30 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (226223083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90769 + ... + 93227.

It is an arithmetic number, because the mean of its divisors is an integer number (10793250).

Almost surely, 2226223082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226223082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259038000).

226223082 is an abundant number, since it is smaller than the sum of its proper divisors (291852918).

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

226223082 is a wasteful number, since it uses less digits than its factorization.

226223082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226223082 is about 15040.7141452791. The cubic root of 226223082 is about 609.3202874113.

The spelling of 226223082 in words is "two hundred twenty-six million, two hundred twenty-three thousand, eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 269 342 538 807 1614 2421 2459 4842 4918 5111 7377 10222 14754 15333 22131 30666 44262 45999 46721 91998 93442 140163 280326 420489 661471 840978 1322942 1984413 3968826 5953239 11906478 12567949 25135898 37703847 75407694 113111541 226223082