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22002210001 = 73213730137
BaseRepresentation
bin10100011111011011…
…110001010011010001
32002210101001002000201
4110133123301103101
5330030031210001
614035131415201
71406143461562
oct243733612321
962711032021
1022002210001
119370746032
1243205b4501
1320c8446b95
1410ca198169
1588b918501
hex51f6f14d1

22002210001 has 12 divisors (see below), whose sum is σ = 22471314732. Its totient is φ = 21541694976.

The previous prime is 22002209981. The next prime is 22002210019. The reversal of 22002210001 is 10001220022.

It can be written as a sum of positive squares in 6 ways, for example, as 415548225 + 21586661776 = 20385^2 + 146924^2 .

It is a de Polignac number, because none of the positive numbers 2k-22002210001 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 22002210001.

It is not an unprimeable number, because it can be changed into a prime (22002210091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715005 + ... + 745141.

It is an arithmetic number, because the mean of its divisors is an integer number (1872609561).

Almost surely, 222002210001 is an apocalyptic number.

It is an amenable number.

22002210001 is a deficient number, since it is larger than the sum of its proper divisors (469104731).

22002210001 is an equidigital number, since it uses as much as digits as its factorization.

22002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30420 (or 30347 counting only the distinct ones).

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

Adding to 22002210001 its reverse (10001220022), we get a palindrome (32003430023).

It can be divided in two parts, 220022 and 10001, that multiplied together give a palindrome (2200440022).

The spelling of 22002210001 in words is "twenty-two billion, two million, two hundred ten thousand, one".

Divisors: 1 73 137 5329 10001 30137 730073 2200001 4128769 160600073 301400137 22002210001