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2210220001 = 114150961
BaseRepresentation
bin1000001110111101…
…0100011111100001
312201000220210212001
42003233110133201
514011304020001
61003152404001
7105525363043
oct20357243741
95630823761
102210220001
11a34680000
12518246601
13292b9c3b2
1416d77ba93
15ce08a001
hex83bd47e1

2210220001 has 10 divisors (see below), whose sum is σ = 2431243010. Its totient is φ = 2009277600.

The previous prime is 2210219993. The next prime is 2210220043. The reversal of 2210220001 is 1000220122.

It can be written as a sum of positive squares in only one way, i.e., 2114160400 + 96059601 = 45980^2 + 9801^2 .

It is not a de Polignac number, because 2210220001 - 23 = 2210219993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2210220001.

It is not an unprimeable number, because it can be changed into a prime (2210220071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60840 + ... + 90121.

It is an arithmetic number, because the mean of its divisors is an integer number (243124301).

Almost surely, 22210220001 is an apocalyptic number.

It is an amenable number.

2210220001 is a deficient number, since it is larger than the sum of its proper divisors (221023009).

2210220001 is an frugal number, since it uses more digits than its factorization.

2210220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151005 (or 150972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2210220001 is about 47012.9769425422. The cubic root of 2210220001 is about 1302.6022826558.

Adding to 2210220001 its reverse (1000220122), we get a palindrome (3210440123).

The spelling of 2210220001 in words is "two billion, two hundred ten million, two hundred twenty thousand, one".

Divisors: 1 11 121 1331 14641 150961 1660571 18266281 200929091 2210220001