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231243234320 = 24572433136237
BaseRepresentation
bin1101011101011100101…
…0111011110000010000
3211002212201221102202002
43113113022323300100
512242041231444240
6254122013013132
722464265026500
oct3272712736020
9732781842662
10231243234320
118a08486060a
1238996a841a8
1318a63135487
14b2996b1a00
1560362c8d15
hex35d72bbc10

231243234320 has 120 divisors (see below), whose sum is σ = 626867549784. Its totient is φ = 79099711488.

The previous prime is 231243234311. The next prime is 231243234323. The reversal of 231243234320 is 23432342132.

It can be written as a sum of positive squares in 4 ways, for example, as 1698758656 + 229544475664 = 41216^2 + 479108^2 .

It is not an unprimeable number, because it can be changed into a prime (231243234323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629242 + ... + 1765478.

Almost surely, 2231243234320 is an apocalyptic number.

231243234320 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 231243234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313433774892).

231243234320 is an abundant number, since it is smaller than the sum of its proper divisors (395624315464).

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

231243234320 is a wasteful number, since it uses less digits than its factorization.

231243234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136697 (or 136684 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 231243234320 its reverse (23432342132), we get a palindrome (254675576452).

The spelling of 231243234320 in words is "two hundred thirty-one billion, two hundred forty-three million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 433 490 560 784 866 980 1732 1960 2165 3031 3464 3920 4330 6062 6928 8660 12124 15155 17320 21217 24248 30310 34640 42434 48496 60620 84868 106085 121240 136237 169736 212170 242480 272474 339472 424340 544948 681185 848680 953659 1089896 1362370 1697360 1907318 2179792 2724740 3814636 4768295 5449480 6675613 7629272 9536590 10898960 13351226 15258544 19073180 26702452 33378065 38146360 53404904 58990621 66756130 76292720 106809808 117981242 133512260 235962484 267024520 294953105 412934347 471924968 534049040 589906210 825868694 943849936 1179812420 1651737388 2064671735 2359624840 2890540429 3303474776 4129343470 4719249680 5781080858 6606949552 8258686940 11562161716 14452702145 16517373880 23124323432 28905404290 33034747760 46248646864 57810808580 115621617160 231243234320