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2220000021 = 334759149199
BaseRepresentation
bin1000010001010010…
…1000001100010101
312201201022200112000
42010110220030111
514021310000041
61004142145513
7106004455161
oct20424501425
95651280460
102220000021
11a3a14a968
1251b582299
13294c14aa5
14170ba5ca1
15ced6cbb6
hex84528315

2220000021 has 64 divisors (see below), whose sum is σ = 3456000000. Its totient is φ = 1407295296.

The previous prime is 2219999989. The next prime is 2220000031. The reversal of 2220000021 is 1200000222.

It is not a de Polignac number, because 2220000021 - 25 = 2219999989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2219999958 and 2220000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220000031) 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 63 ways as a sum of consecutive naturals, for example, 11155680 + ... + 11155878.

It is an arithmetic number, because the mean of its divisors is an integer number (54000000).

Almost surely, 22220000021 is an apocalyptic number.

It is an amenable number.

2220000021 is a deficient number, since it is larger than the sum of its proper divisors (1235999979).

2220000021 is a wasteful number, since it uses less digits than its factorization.

2220000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220000021 is about 47116.8761804091. The cubic root of 2220000021 is about 1304.5207541338.

Adding to 2220000021 its reverse (1200000222), we get a palindrome (3420000243).

The spelling of 2220000021 in words is "two billion, two hundred twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 47 59 141 149 177 199 423 447 531 597 1269 1341 1593 1791 2773 4023 5373 7003 8319 8791 9353 11741 21009 24957 26373 28059 29651 35223 63027 74871 79119 84177 88953 105669 189081 237357 252531 266859 317007 413177 551827 800577 1239531 1393597 1655481 1749409 3718593 4180791 4966443 5248227 11155779 12542373 14899329 15744681 37627119 47234043 82222223 246666669 740000007 2220000021