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242002332 = 22321113291621
BaseRepresentation
bin11100110110010…
…10100110011100
3121212100222210100
432123022212130
5443423033312
640002541100
75665662105
oct1633124634
9555328710
10242002332
11114670a30
1269067790
133b1a2360
14241d73ac
15163a45dc
hexe6ca99c

242002332 has 144 divisors (see below), whose sum is σ = 743914080. Its totient is φ = 65318400.

The previous prime is 242002331. The next prime is 242002333. The reversal of 242002332 is 233200242.

It is an interprime number because it is at equal distance from previous prime (242002331) and next prime (242002333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148482 + ... + 150102.

It is an arithmetic number, because the mean of its divisors is an integer number (5166070).

Almost surely, 2242002332 is an apocalyptic number.

242002332 is a gapful number since it is divisible by the number (22) 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 242002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371957040).

242002332 is an abundant number, since it is smaller than the sum of its proper divisors (501911748).

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

242002332 is a wasteful number, since it uses less digits than its factorization.

242002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242002332 is about 15556.4241392423. The cubic root of 242002332 is about 623.1699701216.

Adding to 242002332 its reverse (233200242), we get a palindrome (475202574).

The spelling of 242002332 in words is "two hundred forty-two million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 468 522 572 638 754 858 957 1044 1131 1276 1287 1508 1621 1716 1914 2262 2574 2871 3242 3393 3828 4147 4524 4863 5148 5742 6484 6786 8294 9726 11484 12441 13572 14589 16588 17831 19452 21073 24882 29178 35662 37323 42146 47009 49764 53493 58356 63219 71324 74646 84292 94018 106986 126438 141027 149292 160479 188036 189657 213972 231803 252876 282054 320958 379314 423081 463606 517099 564108 611117 641916 695409 758628 846162 927212 1034198 1222234 1390818 1551297 1692324 1833351 2068396 2086227 2444468 2781636 3102594 3666702 4172454 4653891 5500053 6205188 6722287 7333404 8344908 9307782 11000106 13444574 18615564 20166861 22000212 26889148 40333722 60500583 80667444 121001166 242002332