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231890904 = 233371031489
BaseRepresentation
bin11011101001001…
…01111111011000
3121011100021112000
431310211333120
5433331002104
635002121000
75514016530
oct1564457730
9534307460
10231890904
11109995083
12657b0160
1339071b6b
1422b244c0
1515558639
hexdd25fd8

231890904 has 128 divisors (see below), whose sum is σ = 743808000. Its totient is φ = 65567232.

The previous prime is 231890887. The next prime is 231890909. The reversal of 231890904 is 409098132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231890909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154992 + ... + 156480.

It is an arithmetic number, because the mean of its divisors is an integer number (5811000).

Almost surely, 2231890904 is an apocalyptic number.

231890904 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 231890904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371904000).

231890904 is an abundant number, since it is smaller than the sum of its proper divisors (511917096).

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

231890904 is a wasteful number, since it uses less digits than its factorization.

231890904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 231890904 is about 15227.9645389658. The cubic root of 231890904 is about 614.3670346693.

The spelling of 231890904 in words is "two hundred thirty-one million, eight hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 168 189 206 216 252 309 378 412 504 618 721 756 824 927 1236 1442 1489 1512 1854 2163 2472 2781 2884 2978 3708 4326 4467 5562 5768 5956 6489 7416 8652 8934 10423 11124 11912 12978 13401 17304 17868 19467 20846 22248 25956 26802 31269 35736 38934 40203 41692 51912 53604 62538 77868 80406 83384 93807 107208 125076 153367 155736 160812 187614 250152 281421 306734 321624 375228 460101 562842 613468 750456 920202 1073569 1125684 1226936 1380303 1840404 2147138 2251368 2760606 3220707 3680808 4140909 4294276 5521212 6441414 8281818 8588552 9662121 11042424 12882828 16563636 19324242 25765656 28986363 33127272 38648484 57972726 77296968 115945452 231890904