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2220013332 = 223453129281
BaseRepresentation
bin1000010001010010…
…1011011100010100
312201201100100210000
42010110223130110
514021310411312
61004142331300
7106004542035
oct20424533424
95651310700
102220013332
11a3a159969
1251b589b30
13294c1ab74
14170baaa8c
15ced71adc
hex8452b714

2220013332 has 60 divisors (see below), whose sum is σ = 5913100116. Its totient is φ = 726036480.

The previous prime is 2220013319. The next prime is 2220013343. The reversal of 2220013332 is 2333100222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1981496196 + 238517136 = 44514^2 + 15444^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47469 + ... + 81812.

Almost surely, 22220013332 is an apocalyptic number.

It is an amenable number.

2220013332 is an abundant number, since it is smaller than the sum of its proper divisors (3693086784).

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

2220013332 is a wasteful number, since it uses less digits than its factorization.

2220013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129350 (or 129339 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220013332 is about 47117.0174353174. The cubic root of 2220013332 is about 1304.5233614072.

Adding to 2220013332 its reverse (2333100222), we get a palindrome (4553113554).

The spelling of 2220013332 in words is "two billion, two hundred twenty million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 129281 258562 387843 517124 775686 1163529 1551372 2327058 3490587 4654116 6851893 6981174 10471761 13703786 13962348 20555679 20943522 27407572 41111358 41887044 61667037 82222716 123334074 185001111 246668148 370002222 555003333 740004444 1110006666 2220013332