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242194512 = 243717109389
BaseRepresentation
bin11100110111110…
…01100001010000
3121212201202102010
432123321201100
5444000211022
640011022520
76000422310
oct1633714120
9555652363
10242194512
1111479235a
126913aa40
133b23b981
1424247440
15163e150c
hexe6f9850

242194512 has 160 divisors (see below), whose sum is σ = 766022400. Its totient is φ = 64364544.

The previous prime is 242194499. The next prime is 242194517. The reversal of 242194512 is 215491242.

242194512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242194512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242194517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622414 + ... + 622802.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2242194512 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 242194512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

242194512 is an abundant number, since it is smaller than the sum of its proper divisors (523827888).

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

242194512 is a wasteful number, since it uses less digits than its factorization.

242194512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 242194512 is about 15562.5997828126. The cubic root of 242194512 is about 623.3348846718.

The spelling of 242194512 in words is "two hundred forty-two million, one hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 109 112 119 136 168 204 218 238 272 327 336 357 389 408 436 476 654 714 763 778 816 872 952 1167 1308 1428 1526 1556 1744 1853 1904 2289 2334 2616 2723 2856 3052 3112 3706 4578 4668 5232 5446 5559 5712 6104 6224 6613 7412 8169 9156 9336 10892 11118 12208 12971 13226 14824 16338 18312 18672 19839 21784 22236 25942 26452 29648 32676 36624 38913 39678 42401 43568 44472 46291 51884 52904 65352 77826 79356 84802 88944 92582 103768 105808 127203 130704 138873 155652 158712 169604 185164 207536 254406 277746 296807 311304 317424 339208 370328 508812 555492 593614 622608 678416 720817 740656 890421 1017624 1110984 1187228 1441634 1780842 2035248 2162451 2221968 2374456 2883268 3561684 4324902 4748912 5045719 5766536 7123368 8649804 10091438 11533072 14246736 15137157 17299608 20182876 30274314 34599216 40365752 60548628 80731504 121097256 242194512