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2422868832 = 253217736779
BaseRepresentation
bin1001000001101010…
…0000101101100000
320020212001111012200
42100122200231200
514430223300312
61040230253200
7114020021346
oct22032405540
96225044180
102422868832
11103371223a
125774b7200
132c7c64ac7
1418dad3996
15e2a920dc
hex906a0b60

2422868832 has 144 divisors (see below), whose sum is σ = 7396356240. Its totient is φ = 749592576.

The previous prime is 2422868741. The next prime is 2422868843. The reversal of 2422868832 is 2388682242.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 354019 + ... + 360797.

It is an arithmetic number, because the mean of its divisors is an integer number (51363585).

Almost surely, 22422868832 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 2422868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698178120).

2422868832 is an abundant number, since it is smaller than the sum of its proper divisors (4973487408).

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

2422868832 is a wasteful number, since it uses less digits than its factorization.

2422868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6874 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2422868832 is about 49222.6455201262. The cubic root of 2422868832 is about 1343.1050057549.

The spelling of 2422868832 in words is "two billion, four hundred twenty-two million, eight hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 6779 7008 7446 9928 10512 11169 13558 14892 19856 20337 21024 22338 27116 29784 39712 40674 44676 54232 59568 61011 81348 89352 108464 115243 119136 122022 162696 178704 216928 230486 244044 325392 345729 357408 460972 488088 494867 650784 691458 921944 976176 989734 1037187 1382916 1484601 1843888 1952352 1979468 2074374 2765832 2969202 3687776 3958936 4148748 4453803 5531664 5938404 7917872 8297496 8412739 8907606 11063328 11876808 15835744 16594992 16825478 17815212 23753616 25238217 33189984 33650956 35630424 47507232 50476434 67301912 71260848 75714651 100952868 134603824 142521696 151429302 201905736 269207648 302858604 403811472 605717208 807622944 1211434416 2422868832