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231023040 = 26352310463
BaseRepresentation
bin11011100010100…
…10000111000000
3121002201012000220
431301102013000
5433120214130
634531343040
75503443363
oct1561220700
9532635026
10231023040
11109452036
1265451a80
1338b29b31
142297a0da
1515436410
hexdc521c0

231023040 has 112 divisors (see below), whose sum is σ = 765462528. Its totient is φ = 58921984.

The previous prime is 231023021. The next prime is 231023041. The reversal of 231023040 is 40320132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231023041) 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 15 ways as a sum of consecutive naturals, for example, 16849 + ... + 27311.

Almost surely, 2231023040 is an apocalyptic number.

231023040 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 231023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382731264).

231023040 is an abundant number, since it is smaller than the sum of its proper divisors (534439488).

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

231023040 is a wasteful number, since it uses less digits than its factorization.

231023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 231023040 is about 15199.4420950244. The cubic root of 231023040 is about 613.5996428057.

Adding to 231023040 its reverse (40320132), we get a palindrome (271343172).

The spelling of 231023040 in words is "two hundred thirty-one million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 10463 11040 20926 22080 31389 41852 52315 62778 83704 104630 125556 156945 167408 209260 240649 251112 313890 334816 418520 481298 502224 627780 669632 721947 837040 962596 1004448 1203245 1255560 1443894 1674080 1925192 2008896 2406490 2511120 2887788 3348160 3609735 3850384 4812980 5022240 5775576 7219470 7700768 9625960 10044480 11551152 14438940 15401536 19251920 23102304 28877880 38503840 46204608 57755760 77007680 115511520 231023040