Search a number
-
+
227785896 = 233213397613
BaseRepresentation
bin11011001001110…
…11110010101000
3120212121201111200
431210323302220
5431303122041
634334124200
75434101552
oct1544736250
9525551450
10227785896
11107640a08
1264350660
1338265570
14223764d2
1514ee71b6
hexd93bca8

227785896 has 96 divisors (see below), whose sum is σ = 667135560. Its totient is φ = 69797376.

The previous prime is 227785879. The next prime is 227785897. The reversal of 227785896 is 698587722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95765796 + 132020100 = 9786^2 + 11490^2 .

It is not an unprimeable number, because it can be changed into a prime (227785897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371286 + ... + 371898.

Almost surely, 2227785896 is an apocalyptic number.

227785896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227785896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333567780).

227785896 is an abundant number, since it is smaller than the sum of its proper divisors (439349664).

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

227785896 is a wasteful number, since it uses less digits than its factorization.

227785896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 227785896 is about 15092.5775134667. The cubic root of 227785896 is about 610.7201885314.

The spelling of 227785896 in words is "two hundred twenty-seven million, seven hundred eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 397 468 613 794 936 1191 1226 1588 1839 2382 2452 3176 3573 3678 4764 4904 5161 5517 7146 7356 7969 9528 10322 11034 14292 14712 15483 15938 20644 22068 23907 28584 30966 31876 41288 44136 46449 47814 61932 63752 71721 92898 95628 123864 143442 185796 191256 243361 286884 371592 486722 573768 730083 973444 1460166 1946888 2190249 2920332 3163693 4380498 5840664 6327386 8760996 9491079 12654772 17521992 18982158 25309544 28473237 37964316 56946474 75928632 113892948 227785896