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242223322242 = 231159233266971
BaseRepresentation
bin1110000110010110100…
…0101001010010000010
3212011012221220200202010
43201211220221102002
512432033132302432
6303135330233350
723333343160566
oct3414550512202
9764187820663
10242223322242
11937a9829140
123ab40125856
1319ac2baa715
14ba1ba7b6a6
15647a2333cc
hex3865a29482

242223322242 has 64 divisors (see below), whose sum is σ = 539753310720. Its totient is φ = 71846966400.

The previous prime is 242223322213. The next prime is 242223322247.

It is a happy number.

242223322242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (242223322247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773817 + ... + 1040787.

It is an arithmetic number, because the mean of its divisors is an integer number (8433645480).

Almost surely, 2242223322242 is an apocalyptic number.

242223322242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242223322242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269876655360).

242223322242 is an abundant number, since it is smaller than the sum of its proper divisors (297529988478).

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

242223322242 is a wasteful number, since it uses less digits than its factorization.

242223322242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267279.

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 242223 and 322242, that added together give a palindrome (564465).

The spelling of 242223322242 in words is "two hundred forty-two billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 233 354 466 649 699 1298 1398 1947 2563 3894 5126 7689 13747 15378 27494 41241 82482 151217 266971 302434 453651 533942 800913 907302 1601826 2936681 5873362 8810043 15751289 17620086 31502578 47253867 62204243 94507734 124408486 173264179 186612729 346528358 373225458 519792537 684246673 1039585074 1368493346 2052740019 3670050337 4105480038 7340100674 11010151011 22020302022 40370553707 80741107414 121111661121 242223322242