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2220040404 = 2232173798041
BaseRepresentation
bin1000010001010011…
…0010000011010100
312201201101201220200
42010110302003110
514021312243104
61004143100500
7106005014001
oct20424620324
95651351820
102220040404
11a3a17823a
1251b5a1730
13294c2a29a
14170bb68a8
15ced79b39
hex845320d4

2220040404 has 72 divisors (see below), whose sum is σ = 6102526248. Its totient is φ = 677652480.

The previous prime is 2220040397. The next prime is 2220040411. The reversal of 2220040404 is 4040400222.

2220040404 is a `hidden beast` number, since 2 + 220 + 0 + 40 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (2220040397) and next prime (2220040411).

It can be written as a sum of positive squares in 4 ways, for example, as 1402652304 + 817388100 = 37452^2 + 28590^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

2220040404 is a modest number, since divided by 40404 gives 2220 as remainder.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26377 + ... + 71664.

It is an arithmetic number, because the mean of its divisors is an integer number (84757309).

Almost surely, 22220040404 is an apocalyptic number.

It is an amenable number.

2220040404 is an abundant number, since it is smaller than the sum of its proper divisors (3882485844).

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

2220040404 is a wasteful number, since it uses less digits than its factorization.

2220040404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98105 (or 98100 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2220040404 is about 47117.3047191793. The cubic root of 2220040404 is about 1304.5286640650.

Adding to 2220040404 its reverse (4040400222), we get a palindrome (6260440626).

The spelling of 2220040404 in words is "two billion, two hundred twenty million, forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 98041 196082 294123 392164 588246 882369 1176492 1666697 1764738 3333394 3529476 3627517 5000091 6666788 7255034 10000182 10882551 14510068 15000273 20000364 21765102 30000546 32647653 43530204 60001092 61667789 65295306 123335578 130590612 185003367 246671156 370006734 555010101 740013468 1110020202 2220040404