Search a number
-
+
2116225540 = 22511133123869
BaseRepresentation
bin111111000100011…
…0000101000000100
312110111001101200201
41332020300220010
513313223204130
6545554020244
7103304422522
oct17610605004
95414041621
102116225540
11996610630
124b0877684
1327957c280
141610b1312
15c5bbebca
hex7e230a04

2116225540 has 96 divisors (see below), whose sum is σ = 5389655040. Its totient is φ = 687398400.

The previous prime is 2116225523. The next prime is 2116225549. The reversal of 2116225540 is 455226112.

It is a super-2 number, since 2×21162255402 = 8956821072296583200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2116225499 and 2116225508.

It is not an unprimeable number, because it can be changed into a prime (2116225549) 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, 76726 + ... + 100594.

It is an arithmetic number, because the mean of its divisors is an integer number (56142240).

Almost surely, 22116225540 is an apocalyptic number.

2116225540 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 2116225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694827520).

2116225540 is an abundant number, since it is smaller than the sum of its proper divisors (3273429500).

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

2116225540 is a wasteful number, since it uses less digits than its factorization.

2116225540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23933 (or 23931 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2116225540 is about 46002.4514564170. The cubic root of 2116225540 is about 1283.8688163192.

The spelling of 2116225540 in words is "two billion, one hundred sixteen million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 1364 1430 1612 1705 2015 2860 3410 4030 4433 6820 8060 8866 17732 22165 23869 44330 47738 88660 95476 119345 238690 262559 310297 477380 525118 620594 739939 1050236 1241188 1312795 1479878 1551485 2625590 2959756 3102970 3413267 3699695 5251180 6205940 6826534 7399390 8139329 9619207 13653068 14798780 16278658 17066335 19238414 32557316 34132670 38476828 40696645 48096035 68265340 81393290 96192070 105811277 162786580 192384140 211622554 423245108 529056385 1058112770 2116225540