Search a number
-
+
2242422404240 = 245199491405097
BaseRepresentation
bin100000101000011010110…
…010100111010010010000
321221101002021100221212112
4200220122302213102100
5243214440113413430
64434053222244452
7321003213640634
oct40503262472220
97841067327775
102242422404240
11795007a951a7
1230271a886728
131335c8767295
147a768b50dc4
153d4e5938195
hex20a1aca7490

2242422404240 has 40 divisors (see below), whose sum is σ = 5213897148600. Its totient is φ = 896923360256.

The previous prime is 2242422404203. The next prime is 2242422404249. The reversal of 2242422404240 is 424042242422.

It can be written as a sum of positive squares in 4 ways, for example, as 238034700544 + 2004387703696 = 487888^2 + 1415764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2242422404197 and 2242422404206.

It is not an unprimeable number, because it can be changed into a prime (2242422404249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893372 + ... + 2298468.

It is an arithmetic number, because the mean of its divisors is an integer number (130347428715).

Almost surely, 22242422404240 is an apocalyptic number.

2242422404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242422404240 is an abundant number, since it is smaller than the sum of its proper divisors (2971474744360).

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

2242422404240 is a wasteful number, since it uses less digits than its factorization.

2242422404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425059 (or 1425053 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2242422404240 its reverse (424042242422), we get a palindrome (2666464646662).

The spelling of 2242422404240 in words is "two trillion, two hundred forty-two billion, four hundred twenty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 19949 39898 79796 99745 159592 199490 319184 398980 797960 1405097 1595920 2810194 5620388 7025485 11240776 14050970 22481552 28101940 56203880 112407760 28030280053 56060560106 112121120212 140151400265 224242240424 280302800530 448484480848 560605601060 1121211202120 2242422404240