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45814230 = 23257112601
BaseRepresentation
bin1010111011000…
…1000111010110
310012012121022100
42232301013112
543212023410
64313542530
71064262120
oct256610726
9105177270
1045814230
1123951a00
1213414a46
139651117
146128210
15404e8c0
hex2bb11d6

45814230 has 144 divisors (see below), whose sum is σ = 149883552. Its totient is φ = 9504000.

The previous prime is 45814217. The next prime is 45814231. The reversal of 45814230 is 3241854.

It is a junction number, because it is equal to n+sod(n) for n = 45814194 and 45814203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45814231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75930 + ... + 76530.

It is an arithmetic number, because the mean of its divisors is an integer number (1040858).

Almost surely, 245814230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45814230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74941776).

45814230 is an abundant number, since it is smaller than the sum of its proper divisors (104069322).

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

45814230 is a wasteful number, since it uses less digits than its factorization.

45814230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45814230 is about 6768.6209821499. The cubic root of 45814230 is about 357.8218009761.

The spelling of 45814230 in words is "forty-five million, eight hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 601 605 630 693 726 770 847 990 1089 1155 1202 1210 1386 1694 1803 1815 2178 2310 2541 3005 3465 3606 3630 4207 4235 5082 5409 5445 6010 6611 6930 7623 8414 8470 9015 10818 10890 12621 12705 13222 15246 18030 19833 21035 25242 25410 27045 33055 37863 38115 39666 42070 46277 54090 59499 63105 66110 72721 75726 76230 92554 99165 118998 126210 138831 145442 189315 198330 218163 231385 277662 297495 363605 378630 416493 436326 462770 509047 594990 654489 694155 727210 832986 1018094 1090815 1308978 1388310 1527141 2082465 2181630 2545235 3054282 3272445 4164930 4581423 5090470 6544890 7635705 9162846 15271410 22907115 45814230