Search a number
-
+
2222531616660 = 22352314291127033
BaseRepresentation
bin100000010101111001001…
…101010001111110010100
321212110202001100020220020
4200111321031101332110
5242403221043213120
64421003353505140
7316400256015405
oct40257115217624
97773661306806
102222531616660
1178763017a083
122ba8a94121b0
131317788aa3a4
14797dd1779ac
153cc2e591640
hex20579351f94

2222531616660 has 96 divisors (see below), whose sum is σ = 6498207555840. Its totient is φ = 566509396992.

The previous prime is 2222531616653. The next prime is 2222531616661. The reversal of 2222531616660 is 666161352222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222531616661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408504 + ... + 2535536.

It is an arithmetic number, because the mean of its divisors is an integer number (67689662040).

Almost surely, 22222531616660 is an apocalyptic number.

2222531616660 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 2222531616660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249103777920).

2222531616660 is an abundant number, since it is smaller than the sum of its proper divisors (4275675939180).

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

2222531616660 is a wasteful number, since it uses less digits than its factorization.

2222531616660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128497 (or 1128495 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 2222531616660 its reverse (666161352222), we get a palindrome (2888692968882).

The spelling of 2222531616660 in words is "two trillion, two hundred twenty-two billion, five hundred thirty-one million, six hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1429 2858 4287 5716 7145 8574 14290 17148 21435 28580 32867 42870 65734 85740 98601 131468 164335 197202 328670 394404 493005 657340 986010 1127033 1972020 2254066 3381099 4508132 5635165 6762198 11270330 13524396 16905495 22540660 25921759 33810990 51843518 67621980 77765277 103687036 129608795 155530554 259217590 311061108 388826385 518435180 777652770 1555305540 1610530157 3221060314 4831590471 6442120628 8052650785 9663180942 16105301570 19326361884 24157952355 32210603140 37042193611 48315904710 74084387222 96631809420 111126580833 148168774444 185210968055 222253161666 370421936110 444506323332 555632904165 740843872220 1111265808330 2222531616660