Search a number
-
+
2201442524240 = 245225127494447
BaseRepresentation
bin100000000010010000001…
…100110001110001010000
321210110022022111100201012
4200002100030301301100
5242032023241233430
64403155001230052
7315022540465061
oct40022014616120
97713268440635
102201442524240
11779698a05883
122b67a2792328
1312c7976a078b
147879c392568
153c3e7de6695
hex20090331c50

2201442524240 has 80 divisors (see below), whose sum is σ = 5123642304000. Its totient is φ = 879667776000.

The previous prime is 2201442524233. The next prime is 2201442524243. The reversal of 2201442524240 is 424252441022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201442524197 and 2201442524206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201442524243) 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, 495037697 + ... + 495042143.

It is an arithmetic number, because the mean of its divisors is an integer number (64045528800).

Almost surely, 22201442524240 is an apocalyptic number.

2201442524240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201442524240 is an abundant number, since it is smaller than the sum of its proper divisors (2922199779760).

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

2201442524240 is a wasteful number, since it uses less digits than its factorization.

2201442524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 2201442524240 its reverse (424252441022), we get a palindrome (2625694965262).

The spelling of 2201442524240 in words is "two trillion, two hundred one billion, four hundred forty-two million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2251 2749 4447 4502 5498 8894 9004 10996 11255 13745 17788 18008 21992 22235 22510 27490 35576 36016 43984 44470 45020 54980 71152 88940 90040 109960 177880 180080 219920 355760 6187999 10010197 12224803 12375998 20020394 24449606 24751996 30939995 40040788 48899212 49503992 50050985 61124015 61879990 80081576 97798424 99007984 100101970 122248030 123759980 160163152 195596848 200203940 244496060 247519960 400407880 488992120 495039920 800815760 977984240 27518031553 55036063106 110072126212 137590157765 220144252424 275180315530 440288504848 550360631060 1100721262120 2201442524240