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2200484460409 = 17271212292
BaseRepresentation
bin100000000001010111000…
…110000011011101111001
321210100211112201200012121
4200001113012003131321
5242023043010213114
64402515534441241
7314660025205054
oct40012706033571
97710745650177
102200484460409
11779247125294
122b6575963221
1312c6740574c1
147870b03da9b
153c38dc4aa24
hex20057183779

2200484460409 has 27 divisors (see below), whose sum is σ = 2372856363661. Its totient is φ = 2040213150080.

The previous prime is 2200484460403. The next prime is 2200484460439. The reversal of 2200484460409 is 9040644840022.

The square root of 2200484460409 is 1483403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1490462514025 + 710021946384 = 1220845^2 + 842628^2 .

It is not a de Polignac number, because 2200484460409 - 23 = 2200484460401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2200484460401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1790466807 + ... + 1790468035.

Almost surely, 22200484460409 is an apocalyptic number.

2200484460409 is the 1483403-rd square number.

2200484460409 is the 741702-nd centered octagonal number.

It is an amenable number.

2200484460409 is a deficient number, since it is larger than the sum of its proper divisors (172371903252).

2200484460409 is an frugal number, since it uses more digits than its factorization.

2200484460409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 2200484460409 in words is "two trillion, two hundred billion, four hundred eighty-four million, four hundred sixty thousand, four hundred nine".

Divisors: 1 17 71 289 1207 1229 5041 20519 20893 85697 87259 355181 1456849 1483403 1510441 6195389 25217851 25677497 105321613 107241311 436517449 1790467421 1823102287 7614133081 30992738879 129440262377 2200484460409