Search a number
-
+
2239610016 = 253718118413
BaseRepresentation
bin1000010101111101…
…1011110010100000
312210002012222101010
42011133123302200
514041320010031
61010122340520
7106333241160
oct20537336240
95702188333
102239610016
11a4a224176
1252605a740
13298cbc837
1417362c5a0
15d1943246
hex857dbca0

2239610016 has 96 divisors (see below), whose sum is σ = 6756317568. Its totient is φ = 636318720.

The previous prime is 2239609993. The next prime is 2239610053. The reversal of 2239610016 is 6100169322.

2239610016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112426 + ... + 130838.

It is an arithmetic number, because the mean of its divisors is an integer number (70378308).

Almost surely, 22239610016 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 2239610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378158784).

2239610016 is an abundant number, since it is smaller than the sum of its proper divisors (4516707552).

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

2239610016 is a wasteful number, since it uses less digits than its factorization.

2239610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2239610016 is about 47324.5181274992. The cubic root of 2239610016 is about 1308.3505873158.

Adding to 2239610016 its reverse (6100169322), we get a palindrome (8339779338).

The spelling of 2239610016 in words is "two billion, two hundred thirty-nine million, six hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 672 724 1086 1267 1448 2172 2534 2896 3801 4344 5068 5792 7602 8688 10136 15204 17376 18413 20272 30408 36826 40544 55239 60816 73652 110478 121632 128891 147304 220956 257782 294608 386673 441912 515564 589216 773346 883824 1031128 1546692 1767648 2062256 3093384 3332753 4124512 6186768 6665506 9998259 12373536 13331012 19996518 23329271 26662024 39993036 46658542 53324048 69987813 79986072 93317084 106648096 139975626 159972144 186634168 279951252 319944288 373268336 559902504 746536672 1119805008 2239610016