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2213419041 = 34199714827
BaseRepresentation
bin1000001111101110…
…0001100000100001
312201020221100010000
42003323201200201
514013113402131
61003345130213
7105564515511
oct20373414041
95636840100
102213419041
11a36465539
12519329969
1329374c512
1416dd71841
15ce4bcce6
hex83ee1821

2213419041 has 40 divisors (see below), whose sum is σ = 3516608480. Its totient is φ = 1383443712.

The previous prime is 2213419009. The next prime is 2213419051. The reversal of 2213419041 is 1409143122.

It is a happy number.

It is not a de Polignac number, because 2213419041 - 25 = 2213419009 is a prime.

It is a super-2 number, since 2×22134190412 = 9798447702122719362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2213418996 and 2213419014.

It is not an unprimeable number, because it can be changed into a prime (2213419001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 141870 + ... + 156696.

It is an arithmetic number, because the mean of its divisors is an integer number (87915212).

Almost surely, 22213419041 is an apocalyptic number.

It is an amenable number.

2213419041 is a deficient number, since it is larger than the sum of its proper divisors (1303189439).

2213419041 is a wasteful number, since it uses less digits than its factorization.

2213419041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14955 (or 14946 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2213419041 is about 47046.9875868796. The cubic root of 2213419041 is about 1303.2304355040.

The spelling of 2213419041 in words is "two billion, two hundred thirteen million, four hundred nineteen thousand, forty-one".

Divisors: 1 3 9 19 27 57 81 97 171 291 513 873 1539 1843 2619 5529 7857 14827 16587 44481 49761 133443 149283 281713 400329 845139 1200987 1438219 2535417 4314657 7606251 12943971 22818753 27326161 38831913 81978483 116495739 245935449 737806347 2213419041