Search a number
-
+
2123221122 = 232112974849
BaseRepresentation
bin111111010001101…
…1100100010000010
312110222012210211100
41332203130202002
513322021033442
6550403555230
7103421040021
oct17643344202
95428183740
102123221122
1199a559500
124b308bb16
1327ab5b479
14161db28b8
15c660284c
hex7e8dc882

2123221122 has 36 divisors (see below), whose sum is σ = 5056546950. Its totient is φ = 643399680.

The previous prime is 2123221097. The next prime is 2123221123. The reversal of 2123221122 is 2211223212.

It can be written as a sum of positive squares in only one way, i.e., 1207493001 + 915728121 = 34749^2 + 30261^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2123221095 and 2123221104.

It is not an unprimeable number, because it can be changed into a prime (2123221123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 485247 + ... + 489602.

Almost surely, 22123221122 is an apocalyptic number.

2123221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2123221122 is an abundant number, since it is smaller than the sum of its proper divisors (2933325828).

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

2123221122 is a wasteful number, since it uses less digits than its factorization.

2123221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974879 (or 974865 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2123221122 is about 46078.4236058483. The cubic root of 2123221122 is about 1285.2819503743.

Adding to 2123221122 its reverse (2211223212), we get a palindrome (4334444334).

It can be divided in two parts, 212322 and 1122, that added together give a square (213444 = 4622).

The spelling of 2123221122 in words is "two billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 974849 1949698 2924547 5849094 8773641 10723339 17547282 21446678 32170017 64340034 96510051 117956729 193020102 235913458 353870187 707740374 1061610561 2123221122