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42230430 = 23351159241
BaseRepresentation
bin1010000100011…
…0001010011110
32221110112021000
42201012022132
541302333210
64105051130
71021644534
oct241061236
987415230
1042230430
1121924390
1212186aa6
138997b28
145874154
153a92ac0
hex284629e

42230430 has 128 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 10022400.

The previous prime is 42230413. The next prime is 42230437. The reversal of 42230430 is 3403224.

42230430 is a `hidden beast` number, since 4 + 2 + 230 + 430 = 666.

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 (42230437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175110 + ... + 175350.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 242230430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

42230430 is an abundant number, since it is smaller than the sum of its proper divisors (83222370).

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

42230430 is a wasteful number, since it uses less digits than its factorization.

42230430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

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

The square root of 42230430 is about 6498.4944410225. The cubic root of 42230430 is about 348.2372045101.

Adding to 42230430 its reverse (3403224), we get a palindrome (45633654).

The spelling of 42230430 in words is "forty-two million, two hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 90 99 110 118 135 165 177 198 241 270 295 297 330 354 482 495 531 590 594 649 723 885 990 1062 1205 1298 1446 1485 1593 1770 1947 2169 2410 2651 2655 2970 3186 3245 3615 3894 4338 5302 5310 5841 6490 6507 7230 7953 7965 9735 10845 11682 13014 13255 14219 15906 15930 17523 19470 21690 23859 26510 28438 29205 32535 35046 39765 42657 47718 58410 65070 71095 71577 79530 85314 87615 119295 127971 142190 143154 156409 175230 213285 238590 255942 312818 357885 383913 426570 469227 639855 715770 767826 782045 938454 1279710 1407681 1564090 1919565 2346135 2815362 3839130 4223043 4692270 7038405 8446086 14076810 21115215 42230430