Search a number
-
+
242224204232 = 231973181120607
BaseRepresentation
bin1110000110010110110…
…0000000100111001000
3212011020000120111121102
43201211230000213020
512432033344013412
6303135401200532
723333353523153
oct3414554004710
9764200514542
10242224204232
11937aa28085a
123ab40490148
1319ac3128cca
14ba1bc2ac9a
15647a3598c2
hex3865b009c8

242224204232 has 64 divisors (see below), whose sum is σ = 487304563200. Its totient is φ = 112539870720.

The previous prime is 242224204223. The next prime is 242224204259. The reversal of 242224204232 is 232402422242.

It is a junction number, because it is equal to n+sod(n) for n = 242224204195 and 242224204204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948073 + ... + 2068679.

It is an arithmetic number, because the mean of its divisors is an integer number (7614133800).

Almost surely, 2242224204232 is an apocalyptic number.

It is an amenable number.

242224204232 is an abundant number, since it is smaller than the sum of its proper divisors (245080358968).

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

242224204232 is a wasteful number, since it uses less digits than its factorization.

242224204232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120886 (or 120882 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 242224204232 its reverse (232402422242), we get a palindrome (474626626474).

The spelling of 242224204232 in words is "two hundred forty-two billion, two hundred twenty-four million, two hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 19 38 73 76 146 152 181 292 362 584 724 1387 1448 2774 3439 5548 6878 11096 13213 13756 26426 27512 52852 105704 120607 241214 251047 482428 502094 964856 1004188 2008376 2291533 4583066 8804311 9166132 17608622 18332264 21829867 35217244 43659734 70434488 87319468 167281909 174638936 334563818 414767473 669127636 829534946 1338255272 1593580291 1659069892 3187160582 3318139784 6374321164 12748642328 30278025529 60556051058 121112102116 242224204232