Search a number
-
+
242332233242 = 2112310117327409
BaseRepresentation
bin1110000110110000100…
…0000110111000011010
3212011111112211221112212
43201230020012320122
512432244022430432
6303154220435122
723336134665431
oct3415410067032
9764445757485
10242332233242
1193855256630
123ab706a8aa2
1319b0c6211b8
14ba2c30c118
156484a982b2
hex386c206e1a

242332233242 has 64 divisors (see below), whose sum is σ = 420312395520. Its totient is φ = 103711872000.

The previous prime is 242332233191. The next prime is 242332233257.

242332233242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2423322332422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242332233199 and 242332233208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8827634 + ... + 8855042.

It is an arithmetic number, because the mean of its divisors is an integer number (6567381180).

Almost surely, 2242332233242 is an apocalyptic number.

242332233242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242332233242 is a deficient number, since it is larger than the sum of its proper divisors (177980162278).

242332233242 is a wasteful number, since it uses less digits than its factorization.

242332233242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27719.

The product of its digits is 82944, while the sum is 32.

It can be divided in two parts, 242332 and 233242, that added together give a palindrome (475574).

The spelling of 242332233242 in words is "two hundred forty-two billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 11 22 23 46 101 173 202 253 346 506 1111 1903 2222 2323 3806 3979 4646 7958 17473 25553 27409 34946 43769 51106 54818 87538 192203 301499 384406 401879 602998 630407 803758 1260814 2768309 4420669 4741757 5536618 6934477 8841338 9483514 13868954 30451399 52159327 60902798 63671107 104318654 109060411 127342214 218120822 478917457 700382177 957834914 1199664521 1400764354 2399329042 5268092027 10536184054 11015101511 22030203022 121166116621 242332233242