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231050424 = 2331129103293
BaseRepresentation
bin11011100010110…
…00110010111000
3121002202120121010
431301120302320
5433122103144
634532113520
75503616253
oct1561306270
9532676533
10231050424
11109470670
12654658a0
1338b39437
142298609a
151543e5b9
hexdc58cb8

231050424 has 128 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 66716160.

The previous prime is 231050399. The next prime is 231050429. The reversal of 231050424 is 424050132.

231050424 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231050424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231050429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788422 + ... + 788714.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2231050424 is an apocalyptic number.

231050424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231050424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

231050424 is an abundant number, since it is smaller than the sum of its proper divisors (429391176).

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

231050424 is a wasteful number, since it uses less digits than its factorization.

231050424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 231050424 is about 15200.3428908693. The cubic root of 231050424 is about 613.6238859126.

The spelling of 231050424 in words is "two hundred thirty-one million, fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 103 116 132 174 206 232 264 293 309 319 348 412 586 618 638 696 824 879 957 1133 1172 1236 1276 1758 1914 2266 2344 2472 2552 2987 3223 3399 3516 3828 4532 5974 6446 6798 7032 7656 8497 8961 9064 9669 11948 12892 13596 16994 17922 19338 23896 25491 25784 27192 30179 32857 33988 35844 38676 50982 60358 65714 67976 71688 77352 90537 93467 98571 101964 120716 131428 181074 186934 197142 203928 241432 262856 280401 331969 362148 373868 394284 560802 663938 724296 747736 788568 875191 995907 1121604 1327876 1750382 1991814 2243208 2625573 2655752 3500764 3983628 5251146 7001528 7967256 9627101 10502292 19254202 21004584 28881303 38508404 57762606 77016808 115525212 231050424