Search a number
-
+
242332116 = 2231359113233
BaseRepresentation
bin11100111000110…
…11000111010100
3121212222202011120
432130123013110
5444014111431
640014003540
76001534425
oct1634330724
9555882146
10242332116
11114876784
12691a65b0
133b2894b0
142428164c
151641c196
hexe71b1d4

242332116 has 96 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 72339456.

The previous prime is 242332087. The next prime is 242332157. The reversal of 242332116 is 611233242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1039936 + ... + 1040168.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2242332116 is an apocalyptic number.

242332116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242332116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

242332116 is an abundant number, since it is smaller than the sum of its proper divisors (385087404).

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

242332116 is a wasteful number, since it uses less digits than its factorization.

242332116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 242332116 is about 15567.0201387420. The cubic root of 242332116 is about 623.4529125793.

Adding to 242332116 its reverse (611233242), we get a palindrome (853565358).

The spelling of 242332116 in words is "two hundred forty-two million, three hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 113 118 156 177 226 233 236 339 354 452 466 678 699 708 767 932 1356 1398 1469 1534 2301 2796 2938 3029 3068 4407 4602 5876 6058 6667 8814 9087 9204 12116 13334 13747 17628 18174 20001 26329 26668 27494 36348 40002 41241 52658 54988 78987 80004 82482 86671 105316 157974 164964 173342 178711 260013 315948 342277 346684 357422 520026 536133 684554 714844 1026831 1040052 1072266 1369108 1553411 2053662 2144532 3106822 4107324 4660233 6213644 9320466 18640932 20194343 40388686 60583029 80777372 121166058 242332116