Search a number
-
+
242473231 = 71121319261
BaseRepresentation
bin11100111001111…
…01100100001111
3121220020220202001
432130331210033
5444033120411
640021013131
76002663020
oct1634754417
9556226661
10242473231
11114962800
12692541a7
133b3087b0
14242bac47
1516448dc1
hexe73d90f

242473231 has 72 divisors (see below), whose sum is σ = 351873312. Its totient is φ = 162518400.

The previous prime is 242473219. The next prime is 242473243. The reversal of 242473231 is 132374242.

242473231 is a nontrivial binomial coefficient, being equal to C(22022, 2).

It is an interprime number because it is at equal distance from previous prime (242473219) and next prime (242473243).

It is not a de Polignac number, because 242473231 - 29 = 242472719 is a prime.

It is a super-2 number, since 2×2424732312 = 117586535503158722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242473231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242473331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3974941 + ... + 3975001.

Almost surely, 2242473231 is an apocalyptic number.

242473231 is the 22021-st triangular number and also the 11011-st hexagonal number.

242473231 is the 7341-st centered nonagonal number.

242473231 is a deficient number, since it is larger than the sum of its proper divisors (109400081).

242473231 is a wasteful number, since it uses less digits than its factorization.

242473231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 242473231 is about 15571.5519778858. The cubic root of 242473231 is about 623.5739056026.

The spelling of 242473231 in words is "two hundred forty-two million, four hundred seventy-three thousand, two hundred thirty-one".

Divisors: 1 7 11 13 19 61 77 91 121 133 143 209 247 361 427 671 793 847 1001 1159 1463 1573 1729 2299 2527 2717 3971 4693 4697 5551 7381 8113 8723 11011 12749 15067 16093 19019 22021 27797 29887 32851 43681 51623 51667 61061 89243 95953 105469 140239 154147 165737 209209 242231 286273 305767 361361 567853 671671 981673 1160159 1695617 1823107 2003911 2664541 3149003 3974971 12761749 18651787 22043021 34639033 242473231