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2241140560 = 245712291723
BaseRepresentation
bin1000010110010101…
…0001011101010000
312210012002201212221
42011211101131100
514042212444220
61010215230424
7106352244331
oct20545213520
95705081787
102241140560
11a5007a08a
12526678414
13299407399
1417390a288
15d1b469aa
hex85951750

2241140560 has 80 divisors (see below), whose sum is σ = 5310195840. Its totient is φ = 879459840.

The previous prime is 2241140491. The next prime is 2241140591. The reversal of 2241140560 is 650411422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22411405602 = 10045422019354227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299859 + ... + 1301581.

It is an arithmetic number, because the mean of its divisors is an integer number (66377448).

Almost surely, 22241140560 is an apocalyptic number.

2241140560 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 2241140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655097920).

2241140560 is an abundant number, since it is smaller than the sum of its proper divisors (3069055280).

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

2241140560 is a wasteful number, since it uses less digits than its factorization.

2241140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2241140560 is about 47340.6860955774. The cubic root of 2241140560 is about 1308.6485606437.

Adding to 2241140560 its reverse (650411422), we get a palindrome (2891551982).

The spelling of 2241140560 in words is "two billion, two hundred forty-one million, one hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 229 284 355 458 568 710 916 1136 1145 1420 1723 1832 2290 2840 3446 3664 4580 5680 6892 8615 9160 13784 16259 17230 18320 27568 32518 34460 65036 68920 81295 122333 130072 137840 162590 244666 260144 325180 394567 489332 611665 650360 789134 978664 1223330 1300720 1578268 1957328 1972835 2446660 3156536 3945670 4893320 6313072 7891340 9786640 15782680 28014257 31565360 56028514 112057028 140071285 224114056 280142570 448228112 560285140 1120570280 2241140560