Search a number
-
+
230231431320 = 233511184794433
BaseRepresentation
bin1101011001101011011…
…1001101100010011000
3211000021020001111221220
43112122313031202120
512233003221300240
6253433350332040
722430230606512
oct3263267154230
9730236044856
10230231431320
1189705705a90
123875405a020
1318931624b87
14b201170bb2
155ec75655d0
hex359adcd898

230231431320 has 128 divisors (see below), whose sum is σ = 753900618240. Its totient is φ = 55782871040.

The previous prime is 230231431187. The next prime is 230231431321. The reversal of 230231431320 is 23134132032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231431321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2390824 + ... + 2485256.

It is an arithmetic number, because the mean of its divisors is an integer number (5889848580).

Almost surely, 2230231431320 is an apocalyptic number.

230231431320 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 230231431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376950309120).

230231431320 is an abundant number, since it is smaller than the sum of its proper divisors (523669186920).

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

230231431320 is a wasteful number, since it uses less digits than its factorization.

230231431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96305 (or 96301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230231431320 its reverse (23134132032), we get a palindrome (253365563352).

The spelling of 230231431320 in words is "two hundred thirty billion, two hundred thirty-one million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1847 3694 5541 7388 9235 11082 14776 18470 20317 22164 27705 36940 40634 44328 55410 60951 73880 81268 94433 101585 110820 121902 162536 188866 203170 221640 243804 283299 304755 377732 406340 472165 487608 566598 609510 755464 812680 944330 1038763 1133196 1219020 1416495 1888660 2077526 2266392 2438040 2832990 3116289 3777320 4155052 5193815 5665980 6232578 8310104 10387630 11331960 12465156 15581445 20775260 24930312 31162890 41550520 62325780 124651560 174417751 348835502 523253253 697671004 872088755 1046506506 1395342008 1744177510 1918595261 2093013012 2616266265 3488355020 3837190522 4186026024 5232532530 5755785783 6976710040 7674381044 9592976305 10465065060 11511571566 15348762088 19185952610 20930130120 23023143132 28778928915 38371905220 46046286264 57557857830 76743810440 115115715660 230231431320