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2220888820 = 225412708401
BaseRepresentation
bin1000010001100000…
…0001001011110100
312201202222211201111
42010120001023310
514022021420240
61004213204404
7106015146343
oct20430011364
95652884644
102220888820
11a3a6a7707
1251b930704
132951664c7
14170d57b5a
15cee961ea
hex846012f4

2220888820 has 24 divisors (see below), whose sum is σ = 4777621128. Its totient is φ = 866688000.

The previous prime is 2220888743. The next prime is 2220888827. The reversal of 2220888820 is 288880222.

It can be written as a sum of positive squares in 4 ways, for example, as 19027044 + 2201861776 = 4362^2 + 46924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220888827) 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 7 ways as a sum of consecutive naturals, for example, 1353381 + ... + 1355020.

It is an arithmetic number, because the mean of its divisors is an integer number (199067547).

Almost surely, 22220888820 is an apocalyptic number.

2220888820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220888820 is an abundant number, since it is smaller than the sum of its proper divisors (2556732308).

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

2220888820 is a wasteful number, since it uses less digits than its factorization.

2220888820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708451 (or 2708449 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 2220888820 is about 47126.3070906261. The cubic root of 2220888820 is about 1304.6948235080.

The spelling of 2220888820 in words is "two billion, two hundred twenty million, eight hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2708401 5416802 10833604 13542005 27084010 54168020 111044441 222088882 444177764 555222205 1110444410 2220888820