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242289630 = 23451171383
BaseRepresentation
bin11100111000100…
…00101111011110
3121212220120220000
432130100233132
5444011232010
640013035130
76001266522
oct1634205736
9555816800
10242289630
11114847870
1269185aa6
133b27305b
142426dd82
151640e7c0
hexe710bde

242289630 has 160 divisors (see below), whose sum is σ = 722608128. Its totient is φ = 57758400.

The previous prime is 242289571. The next prime is 242289679. The reversal of 242289630 is 36982242.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 632419 + ... + 632801.

Almost surely, 2242289630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242289630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361304064).

242289630 is an abundant number, since it is smaller than the sum of its proper divisors (480318498).

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

242289630 is a wasteful number, since it uses less digits than its factorization.

242289630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242289630 is about 15565.6554632306. The cubic root of 242289630 is about 623.4164755757.

The spelling of 242289630 in words is "two hundred forty-two million, two hundred eighty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 81 90 99 110 135 142 162 165 198 213 270 297 330 355 383 405 426 495 594 639 710 766 781 810 891 990 1065 1149 1278 1485 1562 1782 1915 1917 2130 2298 2343 2970 3195 3447 3830 3834 3905 4213 4455 4686 5745 5751 6390 6894 7029 7810 8426 8910 9585 10341 11490 11502 11715 12639 14058 17235 19170 20682 21065 21087 23430 25278 27193 28755 31023 34470 35145 37917 42130 42174 51705 54386 57510 62046 63195 63261 70290 75834 81579 103410 105435 113751 126390 126522 135965 155115 163158 189585 210870 227502 244737 271930 299123 310230 316305 341253 379170 407895 489474 568755 598246 632610 682506 734211 815790 897369 1137510 1223685 1468422 1495615 1706265 1794738 2202633 2447370 2692107 2991230 3412530 3671055 4405266 4486845 5384214 7342110 8076321 8973690 11013165 13460535 16152642 22026330 24228963 26921070 40381605 48457926 80763210 121144815 242289630