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2220540552 = 233230840841
BaseRepresentation
bin1000010001011010…
…1100001010001000
312201202100010222200
42010112230022020
514021424244202
61004201520200
7106012166106
oct20426541210
95652303880
102220540552
11a3a489a8a
1251b7a3060
13295073b29
14170ca6c76
15cee27e1c
hex845ac288

2220540552 has 24 divisors (see below), whose sum is σ = 6013964190. Its totient is φ = 740180160.

The previous prime is 2220540551. The next prime is 2220540577. The reversal of 2220540552 is 2550450222.

2220540552 is a `hidden beast` number, since 2 + 2 + 205 + 405 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2139432516 + 81108036 = 46254^2 + 9006^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2220540551) 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 5 ways as a sum of consecutive naturals, for example, 15420349 + ... + 15420492.

Almost surely, 22220540552 is an apocalyptic number.

It is an amenable number.

2220540552 is an abundant number, since it is smaller than the sum of its proper divisors (3793423638).

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

2220540552 is a wasteful number, since it uses less digits than its factorization.

2220540552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30840853 (or 30840846 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2220540552 is about 47122.6118970500. The cubic root of 2220540552 is about 1304.6266215031.

Adding to 2220540552 its reverse (2550450222), we get a palindrome (4770990774).

The spelling of 2220540552 in words is "two billion, two hundred twenty million, five hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30840841 61681682 92522523 123363364 185045046 246726728 277567569 370090092 555135138 740180184 1110270276 2220540552