Search a number
-
+
2283980556 = 22311132395569
BaseRepresentation
bin1000100000100010…
…1100011100001100
312220011201020022110
42020020230130030
514134144334211
61014345344020
7110412341304
oct21010543414
95804636273
102283980556
11a7227a440
12538a98010
132a52567b0
1417949c604
15d57a9ea6
hex8822c70c

2283980556 has 96 divisors (see below), whose sum is σ = 6288307200. Its totient is φ = 636088320.

The previous prime is 2283980551. The next prime is 2283980597. The reversal of 2283980556 is 6550893822.

It is not an unprimeable number, because it can be changed into a prime (2283980551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407340 + ... + 412908.

It is an arithmetic number, because the mean of its divisors is an integer number (65503200).

Almost surely, 22283980556 is an apocalyptic number.

2283980556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283980556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144153600).

2283980556 is an abundant number, since it is smaller than the sum of its proper divisors (4004326644).

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

2283980556 is a wasteful number, since it uses less digits than its factorization.

2283980556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 2283980556 is about 47791.0091544424. The cubic root of 2283980556 is about 1316.9343756740.

The spelling of 2283980556 in words is "two billion, two hundred eighty-three million, nine hundred eighty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 239 286 429 478 572 717 858 956 1434 1716 2629 2868 3107 5258 5569 6214 7887 9321 10516 11138 12428 15774 16707 18642 22276 31548 33414 34177 37284 61259 66828 68354 72397 102531 122518 136708 144794 183777 205062 217191 245036 289588 367554 410124 434382 735108 796367 868764 1330991 1592734 2389101 2661982 3185468 3992973 4778202 5323964 7985946 9556404 14640901 15971892 17302883 29281802 34605766 43922703 51908649 58563604 69211532 87845406 103817298 175690812 190331713 207634596 380663426 570995139 761326852 1141990278 2283980556