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2242240422422 = 27112131011008101
BaseRepresentation
bin100000101000001111111…
…100011010001000010110
321221100121120221022202012
4200220033330122020112
5243214102022004142
64434023201544222
7320665544056460
oct40501774321026
97840546838665
102242240422422
11794a24299600
12302689945072
13133599b4b330
147a74c8dd130
153d4d498c882
hex20a0ff1a216

2242240422422 has 96 divisors (see below), whose sum is σ = 4595106341952. Its totient is φ = 798415200000.

The previous prime is 2242240422413. The next prime is 2242240422451.

2242240422422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22422404224222 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720172 + ... + 2728272.

It is an arithmetic number, because the mean of its divisors is an integer number (47865691062).

Almost surely, 22242240422422 is an apocalyptic number.

2242240422422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2242240422422 is an abundant number, since it is smaller than the sum of its proper divisors (2352865919530).

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

2242240422422 is a wasteful number, since it uses less digits than its factorization.

2242240422422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008246 (or 1008235 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 2242240 and 422422, that added together give a palindrome (2664662).

The spelling of 2242240422422 in words is "two trillion, two hundred forty-two billion, two hundred forty million, four hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 121 143 154 182 202 242 286 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 3146 7777 9191 11011 12221 14443 15554 18382 22022 24442 28886 85547 101101 158873 171094 202202 317746 1008101 1112111 2016202 2224222 7056707 11089111 13105313 14113414 22178222 26210626 77623777 91737191 101818201 121980221 144158443 155247554 183474382 203636402 243960442 288316886 712727407 853861547 1009109101 1120000211 1323636613 1425454814 1585742873 1707723094 2018218202 2240000422 2647273226 3171485746 7840001477 9265456291 11100200111 12320002321 14560002743 15680002954 18530912582 22200400222 24640004642 29120005486 86240016247 101920019201 160160030173 172480032494 203840038402 320320060346 1121120211211 2242240422422