Search a number
-
+
2281860224 = 27721721401
BaseRepresentation
bin1000100000000010…
…0110110010000000
312220000201111202122
42020000212302000
514133124011344
61014232103412
7110355330500
oct21000466200
95800644678
102281860224
11a710613a6
12538234b68
132a4993667
141790a9a00
15d54dbaee
hex88026c80

2281860224 has 96 divisors (see below), whose sum is σ = 5599405260. Its totient is φ = 920371200.

The previous prime is 2281860209. The next prime is 2281860227. The reversal of 2281860224 is 4220681822.

It can be written as a sum of positive squares in 2 ways, for example, as 2281781824 + 78400 = 47768^2 + 280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281860227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95924 + ... + 117324.

Almost surely, 22281860224 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 2281860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799702630).

2281860224 is an abundant number, since it is smaller than the sum of its proper divisors (3317545036).

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

2281860224 is a wasteful number, since it uses less digits than its factorization.

2281860224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2281860224 is about 47768.8206260109. The cubic root of 2281860224 is about 1316.5267244171.

The spelling of 2281860224 in words is "two billion, two hundred eighty-one million, eight hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 392 448 476 544 784 833 896 952 1088 1568 1666 1904 2176 3136 3332 3808 6272 6664 7616 13328 15232 21401 26656 42802 53312 85604 106624 149807 171208 299614 342416 363817 599228 684832 727634 1048649 1198456 1369664 1455268 2097298 2396912 2546719 2739328 2910536 4194596 4793824 5093438 5821072 8389192 9587648 10186876 11642144 16778384 17827033 19175296 20373752 23284288 33556768 35654066 40747504 46568576 67113536 71308132 81495008 134227072 142616264 162990016 285232528 325980032 570465056 1140930112 2281860224