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22202120332033 = 297691006198953
BaseRepresentation
bin1010000110001010101010…
…11111101110001100000001
32220121111112221101001212021
411003011111133232030001
510402224420301111113
6115115302511201441
74451023145012005
oct503052537561401
986544487331767
1022202120332033
11708a959134944
1225a6b05216281
13c508602236c5
1456a83464c705
152877dc51948d
hex1431557ee301

22202120332033 has 16 divisors (see below), whose sum is σ = 23000095918800. Its totient is φ = 21406309908480.

The previous prime is 22202120331991. The next prime is 22202120332039. The reversal of 22202120332033 is 33023302120222.

It can be written as a sum of positive squares in 8 ways, for example, as 608756929 + 22201511575104 = 24673^2 + 4711848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22202120332033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22202120331989 and 22202120332007.

It is not an unprimeable number, because it can be changed into a prime (22202120332039) 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, 224320885 + ... + 224419837.

It is an arithmetic number, because the mean of its divisors is an integer number (1437505994925).

Almost surely, 222202120332033 is an apocalyptic number.

It is an amenable number.

22202120332033 is a deficient number, since it is larger than the sum of its proper divisors (797975586767).

22202120332033 is a wasteful number, since it uses less digits than its factorization.

22202120332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109812.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 22202120332033 its reverse (33023302120222), we get a palindrome (55225422452255).

The spelling of 22202120332033 in words is "twenty-two trillion, two hundred two billion, one hundred twenty million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 29 769 10061 22301 98953 291769 2869637 7736909 76094857 224370361 995566133 2206750853 28871417857 765590356277 22202120332033