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231133440 = 2835232617
BaseRepresentation
bin11011100011011…
…01000100000000
3121002220210110210
431301231010000
5433132232230
634533554120
75504413266
oct1561550400
9532823423
10231133440
11109517a7a
12654a5940
1338b68165
14229a8436
1515458eb0
hexdc6d100

231133440 has 144 divisors (see below), whose sum is σ = 770571648. Its totient is φ = 58933248.

The previous prime is 231133429. The next prime is 231133447. The reversal of 231133440 is 44331132.

231133440 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 (231133447) 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, 87012 + ... + 89628.

It is an arithmetic number, because the mean of its divisors is an integer number (5351192).

Almost surely, 2231133440 is an apocalyptic number.

231133440 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 231133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385285824).

231133440 is an abundant number, since it is smaller than the sum of its proper divisors (539438208).

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

231133440 is a wasteful number, since it uses less digits than its factorization.

231133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231133440 is about 15203.0733734992. The cubic root of 231133440 is about 613.6973684306.

Adding to 231133440 its reverse (44331132), we get a palindrome (275464572).

The spelling of 231133440 in words is "two hundred thirty-one million, one hundred thirty-three thousand, four hundred 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 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2617 2760 2944 3680 3840 4416 5234 5520 5888 7360 7851 8832 10468 11040 13085 14720 15702 17664 20936 22080 26170 29440 31404 39255 41872 44160 52340 60191 62808 78510 83744 88320 104680 120382 125616 157020 167488 180573 209360 240764 251232 300955 314040 334976 361146 418720 481528 502464 601910 628080 669952 722292 837440 902865 963056 1004928 1203820 1256160 1444584 1674880 1805730 1926112 2009856 2407640 2512320 2889168 3349760 3611460 3852224 4815280 5024640 5778336 7222920 7704448 9630560 10049280 11556672 14445840 15408896 19261120 23113344 28891680 38522240 46226688 57783360 77044480 115566720 231133440