Search a number
-
+
2279706704 = 2411293131427
BaseRepresentation
bin1000011111100001…
…1001000001010000
312212212200002200122
42013320121001100
514132101103304
61014114005412
7110331121142
oct20770310120
95785602618
102279706704
11a6a920430
12537576868
132a43bb3a2
14178aa8c92
15d52139be
hex87e19050

2279706704 has 80 divisors (see below), whose sum is σ = 5004054720. Its totient is φ = 996602880.

The previous prime is 2279706703. The next prime is 2279706719. The reversal of 2279706704 is 4076079722.

It is a super-3 number, since 3×22797067043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279706703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596839 + ... + 1598265.

It is an arithmetic number, because the mean of its divisors is an integer number (62550684).

Almost surely, 22279706704 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 2279706704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502027360).

2279706704 is an abundant number, since it is smaller than the sum of its proper divisors (2724348016).

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

2279706704 is a wasteful number, since it uses less digits than its factorization.

2279706704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 2279706704 is about 47746.2742420809. The cubic root of 2279706704 is about 1316.1124339226.

The spelling of 2279706704 in words is "two billion, two hundred seventy-nine million, seven hundred six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 313 319 464 626 638 1252 1276 1427 2504 2552 2854 3443 5008 5104 5708 6886 9077 11416 13772 15697 18154 22832 27544 31394 36308 41383 55088 62788 72616 82766 99847 125576 145232 165532 199694 251152 331064 399388 446651 455213 662128 798776 893302 910426 1597552 1786604 1820852 3573208 3641704 4913161 7146416 7283408 9826322 12952879 19652644 25905758 39305288 51811516 78610576 103623032 142481669 207246064 284963338 569926676 1139853352 2279706704