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633085068 = 2237112199313
BaseRepresentation
bin100101101111000…
…001110010001100
31122010021001110010
4211233001302030
52244032210233
6142453113220
721455064030
oct4557016214
91563231403
10633085068
112a53a6200
12158028810
13a1210b65
146011a1c0
153a8a5b63
hex25bc1c8c

633085068 has 144 divisors (see below), whose sum is σ = 1870937600. Its totient is φ = 163088640.

The previous prime is 633085027. The next prime is 633085121. The reversal of 633085068 is 860580336.

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, 2022480 + ... + 2022792.

Almost surely, 2633085068 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 633085068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935468800).

633085068 is an abundant number, since it is smaller than the sum of its proper divisors (1237852532).

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

633085068 is a wasteful number, since it uses less digits than its factorization.

633085068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 633085068 is about 25161.1817687485. The cubic root of 633085068 is about 858.6589284079.

The spelling of 633085068 in words is "six hundred thirty-three million, eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 199 231 242 308 313 363 398 462 484 597 626 726 796 847 924 939 1194 1252 1393 1452 1694 1878 2189 2191 2388 2541 2786 3388 3443 3756 4179 4378 4382 5082 5572 6567 6573 6886 8358 8756 8764 10164 10329 13134 13146 13772 15323 16716 20658 24079 24101 26268 26292 30646 37873 41316 45969 48158 48202 61292 62287 72237 72303 75746 91938 96316 96404 113619 124574 144474 144606 151492 168553 183876 186861 227238 249148 265111 288948 289212 337106 373722 436009 454476 505659 530222 674212 685157 747444 795333 872018 1011318 1060444 1308027 1370314 1590666 1744036 2022636 2055471 2616054 2740628 3181332 4110942 4796099 5232108 7536727 8221884 9592198 14388297 15073454 19184396 22610181 28776594 30146908 45220362 52757089 57553188 90440724 105514178 158271267 211028356 316542534 633085068