Search a number
-
+
8226012 = 22319109331
BaseRepresentation
bin11111011000010011011100
3120110220222010
4133120103130
54101213022
6452151220
7126630354
oct37302334
916426863
108226012
114709363
122908510
131920282
141141b64
15ac750c
hex7d84dc

8226012 has 48 divisors (see below), whose sum is σ = 20451200. Its totient is φ = 2566080.

The previous prime is 8225999. The next prime is 8226013. The reversal of 8226012 is 2106228.

It is a self number, because there is not a number n which added to its sum of digits gives 8226012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8226013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24687 + ... + 25017.

Almost surely, 28226012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8226012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225600).

8226012 is an abundant number, since it is smaller than the sum of its proper divisors (12225188).

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

8226012 is a wasteful number, since it uses less digits than its factorization.

8226012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8226012 is about 2868.1025086283. The cubic root of 8226012 is about 201.8659699719.

The spelling of 8226012 in words is "eight million, two hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 331 436 654 662 993 1308 1324 1986 2071 3972 4142 6213 6289 8284 12426 12578 18867 24852 25156 36079 37734 72158 75468 108237 144316 216474 432948 685501 1371002 2056503 2742004 4113006 8226012