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22004013024 = 2532717896101
BaseRepresentation
bin10100011111100010…
…101001011111100000
32002210111102200022100
4110133202221133200
5330031011404044
614035234210400
71406165011320
oct243742513740
962714380270
1022004013024
119371767734
124321123a00
1320c8928766
1410ca507280
1588bb72869
hex51f8a97e0

22004013024 has 144 divisors (see below), whose sum is σ = 71564744160. Its totient is φ = 6282316800.

The previous prime is 22004012957. The next prime is 22004013029. The reversal of 22004013024 is 42031040022.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22004012988 and 22004013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004013029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3603574 + ... + 3609674.

It is an arithmetic number, because the mean of its divisors is an integer number (496977390).

Almost surely, 222004013024 is an apocalyptic number.

22004013024 is a gapful number since it is divisible by the number (24) 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 22004013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35782372080).

22004013024 is an abundant number, since it is smaller than the sum of its proper divisors (49560731136).

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

22004013024 is a wasteful number, since it uses less digits than its factorization.

22004013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22004013024 its reverse (42031040022), we get a palindrome (64035053046).

The spelling of 22004013024 in words is "twenty-two billion, four million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1789 2016 3578 5367 6101 7156 10734 12202 12523 14312 16101 18303 21468 24404 25046 28624 32202 36606 37569 42707 42936 48808 50092 54909 57248 64404 73212 75138 85414 85872 97616 100184 109818 112707 128121 128808 146424 150276 170828 171744 195232 200368 219636 225414 256242 257616 292848 300552 341656 384363 400736 439272 450828 512484 515232 585696 601104 683312 768726 878544 901656 1024968 1202208 1366624 1537452 1757088 1803312 2049936 3074904 3606624 4099872 6149808 10914689 12299616 21829378 32744067 43658756 65488134 76402823 87317512 98232201 130976268 152805646 174635024 196464402 229208469 261952536 305611292 349270048 392928804 458416938 523905072 611222584 687625407 785857608 916833876 1047810144 1222445168 1375250814 1571715216 1833667752 2444890336 2750501628 3143430432 3667335504 5501003256 7334671008 11002006512 22004013024