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242220331134 = 23282122737211
BaseRepresentation
bin1110000110010101110…
…1001111000001111110
3212011012202021201201100
43201211131033001332
512432031401044014
6303135142153530
723333305562265
oct3414535170176
9764182251640
10242220331134
11937a8075951
123ab3b1228a6
1319ac23a1132
14ba1b4dd5dc
156479d42009
hex386574f07e

242220331134 has 48 divisors (see below), whose sum is σ = 525754021104. Its totient is φ = 80595110400.

The previous prime is 242220331127. The next prime is 242220331193. The reversal of 242220331134 is 431133022242.

242220331134 is a `hidden beast` number, since 2 + 422 + 203 + 3 + 1 + 1 + 34 = 666.

242220331134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242220331098 and 242220331107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33586789 + ... + 33593999.

It is an arithmetic number, because the mean of its divisors is an integer number (10953208773).

Almost surely, 2242220331134 is an apocalyptic number.

242220331134 is an abundant number, since it is smaller than the sum of its proper divisors (283533689970).

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

242220331134 is a wasteful number, since it uses less digits than its factorization.

242220331134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242220331134 its reverse (431133022242), we get a palindrome (673353353376).

The spelling of 242220331134 in words is "two hundred forty-two billion, two hundred twenty million, three hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 821 1642 2273 2463 4546 4926 6819 7211 7389 13638 14422 14778 20457 21633 40914 43266 64899 129798 1866133 3732266 5598399 5920231 11196798 11840462 16390603 16795197 17760693 32781206 33590394 35521386 49171809 53282079 98343618 106564158 147515427 295030854 13456685063 26913370126 40370055189 80740110378 121110165567 242220331134