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2220183828 = 223261671773
BaseRepresentation
bin1000010001010101…
…0101000100010100
312201201200000122200
42010111111010110
514021331340303
61004150124500
7106006152102
oct20425250424
95651600580
102220183828
11a3a265a75
1251b650730
13294c7a655
14170c12c72
15ceda73a3
hex84555114

2220183828 has 18 divisors (see below), whose sum is σ = 5612131434. Its totient is φ = 740061264.

The previous prime is 2220183817. The next prime is 2220183841. The reversal of 2220183828 is 8283810222.

It can be written as a sum of positive squares in only one way, i.e., 1375816464 + 844367364 = 37092^2 + 29058^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×22201838282 = 9858432460225467168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61671773 = 2220183828 / (2 + 2 + 2 + 0 + 1 + 8 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 2220183792 and 2220183801.

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 5 ways as a sum of consecutive naturals, for example, 30835851 + ... + 30835922.

Almost surely, 22220183828 is an apocalyptic number.

It is an amenable number.

2220183828 is an abundant number, since it is smaller than the sum of its proper divisors (3391947606).

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

2220183828 is a wasteful number, since it uses less digits than its factorization.

2220183828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61671783 (or 61671778 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2220183828 is about 47118.8266831847. The cubic root of 2220183828 is about 1304.5567561498.

The spelling of 2220183828 in words is "two billion, two hundred twenty million, one hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61671773 123343546 185015319 246687092 370030638 555045957 740061276 1110091914 2220183828