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429232230 = 233571911953
BaseRepresentation
bin11001100101011…
…001000001100110
31002220200020221000
4121211121001212
51334340412410
6110331534130
713431261630
oct3145310146
91086606830
10429232230
11200321589
12bb8ba346
136ac07c8b
1441013a50
1527a39dc0
hex19959066

429232230 has 128 divisors (see below), whose sum is σ = 1377100800. Its totient is φ = 92938752.

The previous prime is 429232207. The next prime is 429232261. The reversal of 429232230 is 32232924.

429232230 is a `hidden beast` number, since 429 + 2 + 3 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 429232194 and 429232203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29934 + ... + 41886.

It is an arithmetic number, because the mean of its divisors is an integer number (10758600).

Almost surely, 2429232230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429232230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688550400).

429232230 is an abundant number, since it is smaller than the sum of its proper divisors (947868570).

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

429232230 is a wasteful number, since it uses less digits than its factorization.

429232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 429232230 is about 20717.9205037571. The cubic root of 429232230 is about 754.3347384569.

The spelling of 429232230 in words is "four hundred twenty-nine million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11953 11970 17955 23906 35859 35910 59765 71718 83671 107577 119530 167342 179295 215154 227107 251013 322731 358590 418355 454214 502026 537885 645462 681321 753039 836710 1075770 1135535 1255065 1362642 1506078 1589749 1613655 2043963 2259117 2271070 2510130 3179498 3227310 3406605 3765195 4087926 4518234 4769247 6131889 6813210 7530390 7948745 9538494 10219815 11295585 12263778 14307741 15897490 20439630 22591170 23846235 28615482 30659445 42923223 47692470 61318890 71538705 85846446 143077410 214616115 429232230