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2120222312 = 231319256473
BaseRepresentation
bin111111001100000…
…0000011001101000
312110202120110020022
41332120000121220
513320234103222
6550215420012
7103353410105
oct17630003150
95422513208
102120222312
119988a044a
124b2084608
1327a34b520
14161831aac
15c620e042
hex7e600668

2120222312 has 48 divisors (see below), whose sum is σ = 4518484740. Its totient is φ = 927044352.

The previous prime is 2120222309. The next prime is 2120222353. The reversal of 2120222312 is 2132220212.

It can be written as a sum of positive squares in 2 ways, for example, as 2103689956 + 16532356 = 45866^2 + 4066^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9308 + ... + 65780.

Almost surely, 22120222312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259242370).

2120222312 is an abundant number, since it is smaller than the sum of its proper divisors (2398262428).

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

2120222312 is a wasteful number, since it uses less digits than its factorization.

2120222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56530 (or 56507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2120222312 is about 46045.8718236499. The cubic root of 2120222312 is about 1284.6765600790.

Adding to 2120222312 its reverse (2132220212), we get a palindrome (4252442524).

The spelling of 2120222312 in words is "two billion, one hundred twenty million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 18772 37544 56473 112946 225892 451784 734149 1072987 1468298 2145974 2936596 4291948 5873192 8583896 13948831 20386753 27897662 40773506 55795324 81547012 111590648 163094024 265027789 530055578 1060111156 2120222312