Search a number
-
+
2760227224244 = 2275316737929387
BaseRepresentation
bin101000001010101010010…
…111001111101010110100
3100202212121222111020111222
4220022222113033222310
5330210421132133434
65512010400445512
7403264001201450
oct50125227175264
910685558436458
102760227224244
11974673344476
12386b4a619898
131703995581b9
149784a8b5660
154bbee71d72e
hex282aa5cfab4

2760227224244 has 96 divisors (see below), whose sum is σ = 5673416878080. Its totient is φ = 1150601542272.

The previous prime is 2760227224229. The next prime is 2760227224289. The reversal of 2760227224244 is 4424227220672.

2760227224244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27602272242442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2760227224195 and 2760227224204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93912119 + ... + 93941505.

It is an arithmetic number, because the mean of its divisors is an integer number (59098092480).

Almost surely, 22760227224244 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 2760227224244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836708439040).

2760227224244 is an abundant number, since it is smaller than the sum of its proper divisors (2913189653836).

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

2760227224244 is a wasteful number, since it uses less digits than its factorization.

2760227224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29997 (or 29995 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 44.

The spelling of 2760227224244 in words is "two trillion, seven hundred sixty billion, two hundred twenty-seven million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 53 106 167 212 334 371 379 668 742 758 1169 1484 1516 2338 2653 4676 5306 8851 10612 17702 20087 29387 35404 40174 58774 61957 63293 80348 117548 123914 126586 140609 205709 247828 253172 281218 411418 443051 562436 822836 886102 1557511 1772204 3115022 3354529 4907629 6230044 6709058 9815258 10902577 11137673 13418116 19630516 21805154 22275346 23481703 34353403 43610308 44550692 46963406 68706806 77963711 93926812 137413612 155927422 260104337 311854844 520208674 590296669 1040417348 1180593338 1820730359 1859991391 2361186676 3641460718 3719982782 4132076683 7282921436 7439965564 8264153366 13019939737 16528306732 26039879474 52079758948 98579543723 197159087446 394318174892 690056806061 1380113612122 2760227224244