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2181335156 = 22721113223349
BaseRepresentation
bin1000001000000100…
…1000100001110100
312122000120022021222
42002001020201310
513431410211111
61000241325512
7105025020500
oct20201104164
95560508258
102181335156
11a1a341430
1250a636898
13289bc7b80
141699bd300
15cb7817db
hex82048874

2181335156 has 144 divisors (see below), whose sum is σ = 5255308800. Its totient is φ = 778740480.

The previous prime is 2181335153. The next prime is 2181335171. The reversal of 2181335156 is 6515331812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181335153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6250070 + ... + 6250418.

It is an arithmetic number, because the mean of its divisors is an integer number (36495200).

Almost surely, 22181335156 is an apocalyptic number.

2181335156 is a gapful number since it is divisible by the number (26) 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 2181335156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627654400).

2181335156 is an abundant number, since it is smaller than the sum of its proper divisors (3073973644).

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

2181335156 is a wasteful number, since it uses less digits than its factorization.

2181335156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 2181335156 is about 46704.7658810105. The cubic root of 2181335156 is about 1296.9029146252.

Adding to 2181335156 its reverse (6515331812), we get a palindrome (8696666968).

The spelling of 2181335156 in words is "two billion, one hundred eighty-one million, three hundred thirty-five thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 223 286 308 349 364 446 539 572 637 698 892 1001 1078 1274 1396 1561 2002 2156 2443 2453 2548 2899 3122 3839 4004 4537 4886 4906 5798 6244 7007 7678 9074 9772 9812 10927 11596 14014 15356 17101 17171 18148 20293 21854 26873 28028 31759 31889 34202 34342 40586 43708 49907 53746 63518 63778 68404 68684 77827 81172 99814 107492 120197 127036 127556 142051 155654 188111 199628 222313 223223 240394 284102 311308 349349 376222 444626 446446 480788 544789 568204 698698 752444 856097 889252 892892 1011751 1089578 1397396 1562561 1712194 2023502 2179156 2445443 3125122 3424388 3813523 4047004 4890886 5992679 6250244 7082257 7627046 9781772 11129261 11985358 14164514 15254092 22258522 23970716 28329028 41948753 44517044 49575799 77904827 83897506 99151598 155809654 167795012 198303196 311619308 545333789 1090667578 2181335156