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231114022240 = 2553156382763
BaseRepresentation
bin1101011100111101111…
…0000001110101100000
3211002112201210210002111
43113033132001311200
512241310142202430
6254101115325104
722461135530053
oct3271736016540
9732481723074
10231114022240
118a018927672
123895b750794
1318a4243451a
14b286478a9a
156029ca3c2a
hex35cf781d60

231114022240 has 96 divisors (see below), whose sum is σ = 564627926016. Its totient is φ = 89303508480.

The previous prime is 231114022213. The next prime is 231114022291. The reversal of 231114022240 is 42220411132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751099 + ... + 2833861.

It is an arithmetic number, because the mean of its divisors is an integer number (5881540896).

Almost surely, 2231114022240 is an apocalyptic number.

231114022240 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 231114022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282313963008).

231114022240 is an abundant number, since it is smaller than the sum of its proper divisors (333513903776).

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

231114022240 is a wasteful number, since it uses less digits than its factorization.

231114022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83372 (or 83364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 231114022240 its reverse (42220411132), we get a palindrome (273334433372).

The spelling of 231114022240 in words is "two hundred thirty-one billion, one hundred fourteen million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 563 620 992 1126 1240 2252 2480 2815 4504 4960 5630 9008 11260 17453 18016 22520 34906 45040 69812 82763 87265 90080 139624 165526 174530 279248 331052 349060 413815 558496 662104 698120 827630 1324208 1396240 1655260 2565653 2648416 2792480 3310520 5131306 6621040 10262612 12828265 13242080 20525224 25656530 41050448 46595569 51313060 82100896 93191138 102626120 186382276 205252240 232977845 372764552 410504480 465955690 745529104 931911380 1444462639 1491058208 1863822760 2888925278 3727645520 5777850556 7222313195 7455291040 11555701112 14444626390 23111402224 28889252780 46222804448 57778505560 115557011120 231114022240