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2201000020 = 225110050001
BaseRepresentation
bin1000001100110000…
…1001100001010100
312200101120101102021
42003030021201110
514001424000040
61002223022524
7105354122452
oct20314114124
95611511367
102201000020
11a2a45298a
1251513aa44
13290cc189b
1416c45b9d2
15cd36824a
hex83309854

2201000020 has 12 divisors (see below), whose sum is σ = 4622100084. Its totient is φ = 880400000.

The previous prime is 2200999991. The next prime is 2201000027. The reversal of 2201000020 is 200001022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1619418564 + 581581456 = 40242^2 + 24116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200999967 and 2201000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201000027) 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 3 ways as a sum of consecutive naturals, for example, 55024981 + ... + 55025020.

It is an arithmetic number, because the mean of its divisors is an integer number (385175007).

Almost surely, 22201000020 is an apocalyptic number.

2201000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201000020 is an abundant number, since it is smaller than the sum of its proper divisors (2421100064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201000020 is a wasteful number, since it uses less digits than its factorization.

2201000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110050010 (or 110050008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2201000020 is about 46914.8166361119. The cubic root of 2201000020 is about 1300.7884802516.

Adding to 2201000020 its reverse (200001022), we get a palindrome (2401001042).

The spelling of 2201000020 in words is "two billion, two hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 110050001 220100002 440200004 550250005 1100500010 2201000020