Search a number
-
+
2285171252 = 2272135031783
BaseRepresentation
bin1000100000110100…
…1111001000110100
312220020221201122022
42020031033020310
514140000440002
61014431052312
7110425430600
oct21015171064
95806851568
102285171252
11a72a12a91
12539371098
132a5582750
141796cc500
15d5942ba2
hex8834f234

2285171252 has 72 divisors (see below), whose sum is σ = 5022573696. Its totient is φ = 901720512.

The previous prime is 2285171243. The next prime is 2285171257. The reversal of 2285171252 is 2521715822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285171257) 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 23 ways as a sum of consecutive naturals, for example, 1280753 + ... + 1282535.

It is an arithmetic number, because the mean of its divisors is an integer number (69757968).

Almost surely, 22285171252 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 2285171252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511286848).

2285171252 is an abundant number, since it is smaller than the sum of its proper divisors (2737402444).

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

2285171252 is a wasteful number, since it uses less digits than its factorization.

2285171252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 2285171252 is about 47803.4648535020. The cubic root of 2285171252 is about 1317.1631861568.

The spelling of 2285171252 in words is "two billion, two hundred eighty-five million, one hundred seventy-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 503 637 1006 1274 1783 2012 2548 3521 3566 6539 7042 7132 12481 13078 14084 23179 24647 24962 26156 45773 46358 49294 49924 87367 91546 92716 98588 162253 174734 183092 320411 324506 349468 640822 649012 896849 1135771 1281644 1793698 2271542 3587396 4543084 6277943 11659037 12555886 23318074 25111772 43945601 46636148 81613259 87891202 163226518 175782404 326453036 571292813 1142585626 2285171252