Search a number
-
+
242207136 = 25321944263
BaseRepresentation
bin11100110111111…
…00100110100000
3121212202101201200
432123330212200
5444001112021
640011201200
76000504153
oct1633744640
9555671650
10242207136
111147a0896
1269146200
133b244642
142424bc9a
15163e5126
hexe6fc9a0

242207136 has 72 divisors (see below), whose sum is σ = 725044320. Its totient is φ = 76484736.

The previous prime is 242207081. The next prime is 242207153. The reversal of 242207136 is 631702242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16660 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (10070060).

Almost surely, 2242207136 is an apocalyptic number.

It is an amenable number.

242207136 is an abundant number, since it is smaller than the sum of its proper divisors (482837184).

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

242207136 is a wasteful number, since it uses less digits than its factorization.

242207136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44298 (or 44287 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 242207136 is about 15563.0053652885. The cubic root of 242207136 is about 623.3457145936.

Adding to 242207136 its reverse (631702242), we get a palindrome (873909378).

The spelling of 242207136 in words is "two hundred forty-two million, two hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 44263 88526 132789 177052 265578 354104 398367 531156 708208 796734 840997 1062312 1416416 1593468 1681994 2124624 2522991 3186936 3363988 4249248 5045982 6373872 6727976 7568973 10091964 12747744 13455952 15137946 20183928 26911904 30275892 40367856 60551784 80735712 121103568 242207136