Search a number
-
+
24223214410340 = 22511367860934849
BaseRepresentation
bin1011000000111111010000…
…00101110001101001100100
310011202201100110110010100212
411200133220011301221210
511133333120342112330
6123303554023354552
75050032556144451
oct540375005615144
9104681313403325
1024223214410340
11779a00a0449a0
1228727555b2a58
131069315a1bbca
145da5a4820828
152c017c329295
hex1607e8171a64

24223214410340 has 96 divisors (see below), whose sum is σ = 55652450112000. Its totient is φ = 8783167979520.

The previous prime is 24223214410261. The next prime is 24223214410349. The reversal of 24223214410340 is 4301441232242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 24223214410297 and 24223214410306.

It is not an unprimeable number, because it can be changed into a prime (24223214410349) 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, 695073236 + ... + 695108084.

It is an arithmetic number, because the mean of its divisors is an integer number (579713022000).

Almost surely, 224223214410340 is an apocalyptic number.

24223214410340 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 24223214410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27826225056000).

24223214410340 is an abundant number, since it is smaller than the sum of its proper divisors (31429235701660).

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

24223214410340 is a wasteful number, since it uses less digits than its factorization.

24223214410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43845 (or 43843 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 24223214410340 its reverse (4301441232242), we get a palindrome (28524655642582).

The spelling of 24223214410340 in words is "twenty-four trillion, two hundred twenty-three billion, two hundred fourteen million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 734 1468 1835 3670 4037 7340 8074 8609 16148 17218 20185 34436 34849 40370 43045 69698 80740 86090 94699 139396 172180 174245 189398 348490 378796 383339 473495 696980 766678 946990 1533356 1893980 1916695 3159503 3833390 6319006 7666780 12638012 12789583 15797515 25579166 31595030 34754533 51158332 63190060 63947915 69509066 127895830 139018132 140685413 173772665 255791660 281370826 300015041 347545330 562741652 600030082 695090660 703427065 1200060164 1406854130 1500075205 2813708260 3000150410 3300165451 6000300820 6600330902 13200661804 16500827255 33001654510 66003309020 110105520047 220211040094 440422080188 550527600235 1101055200470 1211160720517 2202110400940 2422321441034 4844642882068 6055803602585 12111607205170 24223214410340