Search a number
-
+
2221121120 = 25517537919
BaseRepresentation
bin1000010001100011…
…1001111001100000
312201210102122101012
42010120321321200
514022101333440
61004222200052
7106020134531
oct20430717140
95653378335
102221121120
11a3a846199
1251ba23028
1329521816a
14170db8688
15ceedee65
hex84639e60

2221121120 has 48 divisors (see below), whose sum is σ = 5251055040. Its totient is φ = 887829504.

The previous prime is 2221121117. The next prime is 2221121129. The reversal of 2221121120 is 211211222.

It is a junction number, because it is equal to n+sod(n) for n = 2221121095 and 2221121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276521 + ... + 284439.

It is an arithmetic number, because the mean of its divisors is an integer number (109396980).

Almost surely, 22221121120 is an apocalyptic number.

2221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221121120 is an abundant number, since it is smaller than the sum of its proper divisors (3029933920).

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

2221121120 is a wasteful number, since it uses less digits than its factorization.

2221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2221121120 is about 47128.7716793044. The cubic root of 2221121120 is about 1304.7403113082.

Adding to 2221121120 its reverse (211211222), we get a palindrome (2432332342).

It can be divided in two parts, 2 and 221121120, that added together give a palindrome (221121122).

The spelling of 2221121120 in words is "two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1753 3506 7012 7919 8765 14024 15838 17530 28048 31676 35060 39595 56096 63352 70120 79190 126704 140240 158380 253408 280480 316760 633520 1267040 13882007 27764014 55528028 69410035 111056056 138820070 222112112 277640140 444224224 555280280 1110560560 2221121120