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242255412 = 22327323853
BaseRepresentation
bin11100111000010…
…00011000110100
3121212211211221200
432130020120310
5444004133122
640012212500
76001065000
oct1634103064
9555754850
10242255412
11114824093
126916a130
133b2605c9
1424261700
15164045ac
hexe708634

242255412 has 144 divisors (see below), whose sum is σ = 746054400. Its totient is φ = 66128832.

The previous prime is 242255407. The next prime is 242255441. The reversal of 242255412 is 214552242.

242255412 is a `hidden beast` number, since 24 + 225 + 5 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283578 + ... + 284430.

Almost surely, 2242255412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242255412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373027200).

242255412 is an abundant number, since it is smaller than the sum of its proper divisors (503798988).

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

242255412 is a wasteful number, since it uses less digits than its factorization.

242255412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 888 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 242255412 is about 15564.5562737908. The cubic root of 242255412 is about 623.3871263085.

The spelling of 242255412 in words is "two hundred forty-two million, two hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 343 414 441 483 588 644 686 828 853 882 966 1029 1127 1372 1449 1706 1764 1932 2058 2254 2559 2898 3087 3381 3412 4116 4508 5118 5796 5971 6174 6762 7677 7889 10143 10236 11942 12348 13524 15354 15778 17913 19619 20286 23667 23884 30708 31556 35826 39238 40572 41797 47334 53739 58857 71001 71652 78476 83594 94668 107478 117714 125391 137333 142002 167188 176571 214956 235428 250782 274666 284004 292579 353142 376173 411999 501564 549332 585158 706284 752346 823998 877737 961331 1170316 1235997 1504692 1647996 1755474 1922662 2471994 2633211 2883993 3510948 3845324 4943988 5266422 5767986 6729317 8651979 10532844 11535972 13458634 17303958 20187951 26917268 34607916 40375902 60563853 80751804 121127706 242255412