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22022212001 = 73137216073
BaseRepresentation
bin10100100000101000…
…000100100110100001
32002211202200021121112
4110200220010212201
5330100141241001
614041124233105
71406505466466
oct244050044641
962752607545
1022022212001
119380a67909
12432723b795
1320cc62b19a
1410ccac366d
1588d569cbb
hex520a049a1

22022212001 has 12 divisors (see below), whose sum is σ = 22489422732. Its totient is φ = 21560652288.

The previous prime is 22022211989. The next prime is 22022212013. The reversal of 22022212001 is 10021222022.

It is an interprime number because it is at equal distance from previous prime (22022211989) and next prime (22022212013).

It can be written as a sum of positive squares in 6 ways, for example, as 58675600 + 21963536401 = 7660^2 + 148201^2 .

It is not a de Polignac number, because 22022212001 - 218 = 22021949857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22022212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362101 + ... + 1378173.

It is an arithmetic number, because the mean of its divisors is an integer number (1874118561).

Almost surely, 222022212001 is an apocalyptic number.

It is an amenable number.

22022212001 is a deficient number, since it is larger than the sum of its proper divisors (467210731).

22022212001 is an equidigital number, since it uses as much as digits as its factorization.

22022212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022212001 its reverse (10021222022), we get a palindrome (32043434023).

The spelling of 22022212001 in words is "twenty-two billion, twenty-two million, two hundred twelve thousand, one".

Divisors: 1 73 137 10001 16073 18769 1173329 1370137 2202001 160746073 301674137 22022212001