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4222104012224 = 26718152068173
BaseRepresentation
bin111101011100001001000…
…000101000010111000000
3112221121222200120112211222
4331130021000220113000
51023133332111342344
612551335141454212
7614015446651340
oct75341100502700
915847880515758
104222104012224
11138864771036a
12582332111368
132481b1686687
141084cad18d20
1574c5ec565ee
hex3d7090285c0

4222104012224 has 56 divisors (see below), whose sum is σ = 9628030190688. Its totient is φ = 1799476024320.

The previous prime is 4222104012193. The next prime is 4222104012271.

4222104012224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4222104012193 and 4222104012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25952999 + ... + 26115174.

It is an arithmetic number, because the mean of its divisors is an integer number (171929110548).

Almost surely, 24222104012224 is an apocalyptic number.

It is an amenable number.

4222104012224 is an abundant number, since it is smaller than the sum of its proper divisors (5405926178464).

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

4222104012224 is a wasteful number, since it uses less digits than its factorization.

4222104012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52068373 (or 52068363 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The spelling of 4222104012224 in words is "four trillion, two hundred twenty-two billion, one hundred four million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 10136 11584 20272 40544 81088 52068173 104136346 208272692 364477211 416545384 728954422 833090768 1457908844 1666181536 2915817688 3332363072 5831635376 9424339313 11663270752 18848678626 23326541504 37697357252 65970375191 75394714504 131940750382 150789429008 263881500764 301578858016 527763001528 603157716032 1055526003056 2111052006112 4222104012224