Search a number
-
+
226164036 = 22374197677
BaseRepresentation
bin11010111101011…
…11110101000100
3120202120022201210
431132233311010
5430344222121
634235251420
75414235240
oct1536576504
9522508653
10226164036
1110673342a
12638a9b70
1337b18297
1422073420
1514cc6876
hexd7afd44

226164036 has 96 divisors (see below), whose sum is σ = 625105152. Its totient is φ = 62300160.

The previous prime is 226164023. The next prime is 226164079. The reversal of 226164036 is 630461622.

It is a junction number, because it is equal to n+sod(n) for n = 226163994 and 226164012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333730 + ... + 334406.

It is an arithmetic number, because the mean of its divisors is an integer number (6511512).

Almost surely, 2226164036 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 226164036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312552576).

226164036 is an abundant number, since it is smaller than the sum of its proper divisors (398941116).

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

226164036 is a wasteful number, since it uses less digits than its factorization.

226164036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226164036 is about 15038.7511449588. The cubic root of 226164036 is about 609.2672703392.

The spelling of 226164036 in words is "two hundred twenty-six million, one hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 97 123 164 194 246 287 291 388 492 574 582 677 679 861 1148 1164 1354 1358 1722 2031 2037 2708 2716 3444 3977 4062 4074 4739 7954 8124 8148 9478 11931 14217 15908 18956 23862 27757 27839 28434 47724 55514 55678 56868 65669 83271 83517 111028 111356 131338 166542 167034 194299 197007 262676 333084 334068 388598 394014 459683 582897 777196 788028 919366 1165794 1379049 1838732 2331588 2692429 2758098 5384858 5516196 8077287 10769716 16154574 18847003 32309148 37694006 56541009 75388012 113082018 226164036