Search a number
-
+
222112000001 = 739734339137
BaseRepresentation
bin1100111011011011101…
…0000010100000000001
3210020022100220200002102
43032312322002200001
512114341133000001
6250011543000145
722022066564213
oct3166672024001
9706270820072
10222112000001
1186219485071
1237068a39055
1317c39426948
14aa70a985b3
155b9e827e6b
hex33b6e82801

222112000001 has 16 divisors (see below), whose sum is σ = 227566976784. Its totient is φ = 216724045824.

The previous prime is 222111999979. The next prime is 222112000027. The reversal of 222112000001 is 100000211222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36716308225 + 185395691776 = 191615^2 + 430576^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112000001 - 234 = 204932130817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222112000501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24304505 + ... + 24313641.

It is an arithmetic number, because the mean of its divisors is an integer number (14222936049).

Almost surely, 2222112000001 is an apocalyptic number.

It is an amenable number.

222112000001 is a deficient number, since it is larger than the sum of its proper divisors (5454976783).

222112000001 is an equidigital number, since it uses as much as digits as its factorization.

222112000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222112000001 its reverse (100000211222), we get a palindrome (322112211223).

The spelling of 222112000001 in words is "two hundred twenty-two billion, one hundred twelve million, one", and thus it is an aban number.

Divisors: 1 73 97 3433 7081 9137 250609 333001 667001 886289 24309073 31367321 64699097 2289814433 3042630137 222112000001