Search a number
-
+
228008286 = 23211331307
BaseRepresentation
bin11011001011100…
…10000101011110
3120220001000120100
431211302011132
5431332231121
634343001530
75436016122
oct1545620536
9526030510
10228008286
11107783000
12644392a6
133831285c
14223d3582
151503d026
hexd97215e

228008286 has 96 divisors (see below), whose sum is σ = 562738176. Its totient is φ = 66646800.

The previous prime is 228008281. The next prime is 228008309. The reversal of 228008286 is 682800822.

It is a self number, because there is not a number n which added to its sum of digits gives 228008286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228008281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742545 + ... + 742851.

It is an arithmetic number, because the mean of its divisors is an integer number (5861856).

Almost surely, 2228008286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228008286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281369088).

228008286 is an abundant number, since it is smaller than the sum of its proper divisors (334729890).

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

228008286 is a wasteful number, since it uses less digits than its factorization.

228008286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 228008286 is about 15099.9432449265. The cubic root of 228008286 is about 610.9188749423.

The spelling of 228008286 in words is "two hundred twenty-eight million, eight thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 307 341 363 558 614 682 726 921 1023 1089 1331 1842 2046 2178 2662 2763 3069 3377 3751 3993 5526 6138 6754 7502 7986 9517 10131 11253 11979 19034 20262 22506 23958 28551 30393 33759 37147 41261 57102 60786 67518 74294 82522 85653 104687 111441 123783 171306 209374 222882 247566 314061 334323 371349 408617 628122 668646 742698 817234 942183 1151557 1225851 1884366 2303114 2451702 3454671 3677553 6909342 7355106 10364013 12667127 20728026 25334254 38001381 76002762 114004143 228008286