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2241504104 = 237313734897
BaseRepresentation
bin1000010110011010…
…1010001101101000
312210012210012120112
42011212222031220
514042311112404
61010231113452
7106355320250
oct20546521550
95705705515
102241504104
11a502a8234
12526812888
132995039b8
141739a2960
15d1bb956e
hex859aa368

2241504104 has 64 divisors (see below), whose sum is σ = 5092316160. Its totient is φ = 904504320.

The previous prime is 2241504103. The next prime is 2241504107. The reversal of 2241504104 is 4014051422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241504104.

It is not an unprimeable number, because it can be changed into a prime (2241504103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46784 + ... + 81680.

It is an arithmetic number, because the mean of its divisors is an integer number (79567440).

Almost surely, 22241504104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241504104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546158080).

2241504104 is an abundant number, since it is smaller than the sum of its proper divisors (2850812056).

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

2241504104 is a wasteful number, since it uses less digits than its factorization.

2241504104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34978 (or 34974 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2241504104 is about 47344.5255969473. The cubic root of 2241504104 is about 1308.7193171176.

Adding to 2241504104 its reverse (4014051422), we get a palindrome (6255555526).

The spelling of 2241504104 in words is "two billion, two hundred forty-one million, five hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 434 518 868 1036 1147 1736 2072 2294 4588 8029 9176 16058 32116 34897 64232 69794 139588 244279 279176 488558 977116 1081807 1291189 1954232 2163614 2582378 4327228 5164756 7572649 8654456 9038323 10329512 15145298 18076646 30290596 36153292 40026859 60581192 72306584 80053718 160107436 280188013 320214872 560376026 1120752052 2241504104