Search a number
-
+
227433856 = 2713314409
BaseRepresentation
bin11011000111001…
…01110110000000
3120211221211121011
431203211312000
5431210340411
634322410304
75431104316
oct1543456600
9524854534
10227433856
11107420471
1264200994
1338171260
14222c40b6
1514e77c21
hexd8e5d80

227433856 has 64 divisors (see below), whose sum is σ = 503798400. Its totient is φ = 101560320.

The previous prime is 227433853. The next prime is 227433859. The reversal of 227433856 is 658334722.

It is an interprime number because it is at equal distance from previous prime (227433853) and next prime (227433859).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227433853) 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 7 ways as a sum of consecutive naturals, for example, 49380 + ... + 53788.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850).

Almost surely, 2227433856 is an apocalyptic number.

227433856 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 227433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251899200).

227433856 is an abundant number, since it is smaller than the sum of its proper divisors (276364544).

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

227433856 is a wasteful number, since it uses less digits than its factorization.

227433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4455 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 227433856 is about 15080.9103173515. The cubic root of 227433856 is about 610.4054064005.

The spelling of 227433856 in words is "two hundred twenty-seven million, four hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 3224 3968 4409 6448 8818 12896 17636 25792 35272 51584 57317 70544 114634 136679 141088 229268 273358 282176 458536 546716 564352 917072 1093432 1776827 1834144 2186864 3553654 3668288 4373728 7107308 7336576 8747456 14214616 17494912 28429232 56858464 113716928 227433856