Search a number
-
+
2294386848 = 253213612817
BaseRepresentation
bin1000100011000001…
…1001000010100000
312220220021221001200
42020300121002200
514144330334343
61015400401200
7110566652325
oct21060310240
95826257050
102294386848
11a78137886
12540476200
132a745b270
1417aa0ab4c
15d66634d3
hex88c190a0

2294386848 has 72 divisors (see below), whose sum is σ = 7026571188. Its totient is φ = 705964032.

The previous prime is 2294386847. The next prime is 2294386883. The reversal of 2294386848 is 8486834922.

It can be written as a sum of positive squares in 2 ways, for example, as 1762992144 + 531394704 = 41988^2 + 23052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22943868482 = 10528422016550750208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2294386794 and 2294386803.

It is not an unprimeable number, because it can be changed into a prime (2294386841) 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, 302665 + ... + 310152.

Almost surely, 22294386848 is an apocalyptic number.

It is an amenable number.

2294386848 is an abundant number, since it is smaller than the sum of its proper divisors (4732184340).

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

2294386848 is a wasteful number, since it uses less digits than its factorization.

2294386848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612846 (or 612835 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2294386848 is about 47899.7583292442. The cubic root of 2294386848 is about 1318.9314216896.

The spelling of 2294386848 in words is "two billion, two hundred ninety-four million, three hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 612817 1225634 1838451 2451268 3676902 4902536 5515353 7353804 7966621 9805072 11030706 14707608 15933242 19610144 22061412 23899863 29415216 31866484 44122824 47799726 58830432 63732968 71699589 88245648 95599452 127465936 143399178 176491296 191198904 254931872 286798356 382397808 573596712 764795616 1147193424 2294386848