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231024900 = 223521797467
BaseRepresentation
bin11011100010100…
…10100100000100
3121002201021120210
431301102210010
5433120244100
634531355420
75503451661
oct1561224404
9532637523
10231024900
11109453477
1265452b70
1338b2a932
142297aa68
1515436c50
hexdc52904

231024900 has 144 divisors (see below), whose sum is σ = 716579136. Its totient is φ = 57262080.

The previous prime is 231024869. The next prime is 231024901. The reversal of 231024900 is 9420132.

231024900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231024901) 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 47 ways as a sum of consecutive naturals, for example, 494467 + ... + 494933.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2231024900 is an apocalyptic number.

231024900 is a gapful number since it is divisible by the number (20) 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 231024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

231024900 is an abundant number, since it is smaller than the sum of its proper divisors (485554236).

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

231024900 is a wasteful number, since it uses less digits than its factorization.

231024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 231024900 is about 15199.5032813576. The cubic root of 231024900 is about 613.6012895279.

The spelling of 231024900 in words is "two hundred thirty-one million, twenty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 97 100 102 150 170 194 204 255 291 300 340 388 425 467 485 510 582 850 934 970 1020 1164 1275 1401 1455 1649 1700 1868 1940 2335 2425 2550 2802 2910 3298 4670 4850 4947 5100 5604 5820 6596 7005 7275 7939 8245 9340 9700 9894 11675 14010 14550 15878 16490 19788 23350 23817 24735 28020 29100 31756 32980 35025 39695 41225 45299 46700 47634 49470 70050 79390 82450 90598 95268 98940 119085 123675 135897 140100 158780 164900 181196 198475 226495 238170 247350 271794 396950 452990 476340 494700 543588 595425 679485 770083 793900 905980 1132475 1190850 1358970 1540166 2264950 2310249 2381700 2717940 3080332 3397425 3850415 4529900 4620498 6794850 7700830 9240996 11551245 13589700 15401660 19252075 23102490 38504150 46204980 57756225 77008300 115512450 231024900