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242226622242 = 232113736379091
BaseRepresentation
bin1110000110010111010…
…1001110111100100010
3212011020012010100111100
43201211311032330202
512432040003402432
6303135525055230
723333413213563
oct3414565167442
9764205110440
10242226622242
1193800682510
123ab41257516
1319ac3794797
14ba1c29a16a
15647a68607c
hex3865d4ef22

242226622242 has 96 divisors (see below), whose sum is σ = 588235961664. Its totient is φ = 71390678400.

The previous prime is 242226622241. The next prime is 242226622247.

242226622242 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 2 + 6 + 622 + 24 + 2 = 666.

242226622242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242226622197 and 242226622206.

It is not an unprimeable number, because it can be changed into a prime (242226622241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26640117 + ... + 26649207.

It is an arithmetic number, because the mean of its divisors is an integer number (6127457934).

Almost surely, 2242226622242 is an apocalyptic number.

242226622242 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 242226622242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294117980832).

242226622242 is an abundant number, since it is smaller than the sum of its proper divisors (346009339422).

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

242226622242 is a wasteful number, since it uses less digits than its factorization.

242226622242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784 (or 12781 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 242226 and 622242, that added together give a palindrome (864468).

The spelling of 242226622242 in words is "two hundred forty-two billion, two hundred twenty-six million, six hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3637 3663 7274 7326 9091 10911 18182 21822 27273 32733 40007 54546 65466 80014 81819 100001 120021 134569 163638 200002 240042 269138 300003 336367 360063 403707 600006 672734 720126 807414 900009 1009101 1211121 1480259 1800018 2018202 2422242 2960518 3027303 3700037 4440777 6054606 7400074 8881554 11100111 13322331 22200222 26644662 33063967 33300333 66127934 66600666 99191901 198383802 297575703 363703637 595151406 727407274 1091110911 1223366779 2182221822 2446733558 3273332733 3670100337 6546665466 7340200674 11010301011 13457034569 22020602022 26914069138 40371103707 80742207414 121113311121 242226622242