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422213101312224 = 25317636674063471
BaseRepresentation
bin110000000000000000010010…
…1111011000101100011100000
32001100221011210222021202222010
41200000000211323011203200
5420320014412413442344
64053550004314512520
7154634614150513005
oct14000004573054340
92040834728252863
10422213101312224
11112591630688482
123b42b889435740
13151786a8769871
14763931a4158ac
1533c2ae96cb8b9
hex1800025ec58e0

422213101312224 has 96 divisors (see below), whose sum is σ = 1173522781702656. Its totient is φ = 132456899082240.

The previous prime is 422213101312199. The next prime is 422213101312231.

422213101312224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 422213101312191 and 422213101312200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101872809 + ... + 105936279.

It is an arithmetic number, because the mean of its divisors is an integer number (12224195642736).

Almost surely, 2422213101312224 is an apocalyptic number.

It is an amenable number.

422213101312224 is an abundant number, since it is smaller than the sum of its proper divisors (751309680390432).

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

422213101312224 is a wasteful number, since it uses less digits than its factorization.

422213101312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127168 (or 4127160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 42221310 and 1312224, that added together give a palindrome (43533534).

The spelling of 422213101312224 in words is "four hundred twenty-two trillion, two hundred thirteen billion, one hundred one million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 63667 127334 191001 254668 382002 509336 764004 1018672 1082339 1528008 2037344 2164678 3056016 3247017 4063471 4329356 6112032 6494034 8126942 8658712 12190413 12988068 16253884 17317424 24380826 25976136 32507768 34634848 48761652 51952272 65015536 69079007 97523304 103904544 130031072 138158014 195046608 207237021 276316028 390093216 414474042 552632056 828948084 1105264112 1657896168 2210528224 3315792336 6631584672 258709008157 517418016314 776127024471 1034836032628 1552254048942 2069672065256 3104508097884 4139344130512 4398053138669 6209016195768 8278688261024 8796106277338 12418032391536 13194159416007 17592212554676 24836064783072 26388318832014 35184425109352 52776637664028 70368850218704 105553275328056 140737700437408 211106550656112 422213101312224