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2213411300 = 225222134113
BaseRepresentation
bin1000001111101101…
…1111100111100100
312201020220221111022
42003323133213210
514013113130200
61003345030312
7105564454112
oct20373374744
95636827438
102213411300
11a3645a741
12519325398
13293748b39
1416dd6cab2
15ce4ba885
hex83edf9e4

2213411300 has 18 divisors (see below), whose sum is σ = 4803102738. Its totient is φ = 885364480.

The previous prime is 2213411293. The next prime is 2213411323. The reversal of 2213411300 is 31143122.

It can be written as a sum of positive squares in 3 ways, for example, as 6666724 + 2206744576 = 2582^2 + 46976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11066957 + ... + 11067156.

It is an arithmetic number, because the mean of its divisors is an integer number (266839041).

Almost surely, 22213411300 is an apocalyptic number.

2213411300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213411300 is an abundant number, since it is smaller than the sum of its proper divisors (2589691438).

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

2213411300 is a wasteful number, since it uses less digits than its factorization.

2213411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22134127 (or 22134120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2213411300 is about 47046.9053179909. The cubic root of 2213411300 is about 1303.2289162377.

Adding to 2213411300 its reverse (31143122), we get a palindrome (2244554422).

The spelling of 2213411300 in words is "two billion, two hundred thirteen million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22134113 44268226 88536452 110670565 221341130 442682260 553352825 1106705650 2213411300