Search a number
-
+
11220324240 = 243559978049
BaseRepresentation
bin10100111001100100…
…01000111110010000
31001221222000112021110
422130302020332100
5140434400333430
65053214253320
7545023116366
oct123462107620
931858015243
1011220324240
114838642744
1222117b7240
13109a779818
14786263636
1545a0b07b0
hex29cc88f90

11220324240 has 80 divisors (see below), whose sum is σ = 34841520000. Its totient is φ = 2987053056.

The previous prime is 11220324217. The next prime is 11220324281. The reversal of 11220324240 is 4242302211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104736 + ... + 182784.

It is an arithmetic number, because the mean of its divisors is an integer number (435519000).

Almost surely, 211220324240 is an apocalyptic number.

11220324240 is a gapful number since it is divisible by the number (10) 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 11220324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420760000).

11220324240 is an abundant number, since it is smaller than the sum of its proper divisors (23621195760).

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

11220324240 is a wasteful number, since it uses less digits than its factorization.

11220324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78664 (or 78658 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11220324240 its reverse (4242302211), we get a palindrome (15462626451).

The spelling of 11220324240 in words is "eleven billion, two hundred twenty million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 599 1198 1797 2396 2995 3594 4792 5990 7188 8985 9584 11980 14376 17970 23960 28752 35940 47920 71880 78049 143760 156098 234147 312196 390245 468294 624392 780490 936588 1170735 1248784 1560980 1873176 2341470 3121960 3746352 4682940 6243920 9365880 18731760 46751351 93502702 140254053 187005404 233756755 280508106 374010808 467513510 561016212 701270265 748021616 935027020 1122032424 1402540530 1870054040 2244064848 2805081060 3740108080 5610162120 11220324240