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2228919 = 37119649
BaseRepresentation
bin1000100000001010110111
311012020111120
420200022313
51032311134
6115435023
724642210
oct10401267
94166446
102228919
111292690
128b5a73
136006b4
14420407
152e0649
hex2202b7

2228919 has 16 divisors (see below), whose sum is σ = 3705600. Its totient is φ = 1157760.

The previous prime is 2228893. The next prime is 2228923. The reversal of 2228919 is 9198222.

It is a happy number.

It is not a de Polignac number, because 2228919 - 28 = 2228663 is a prime.

It is a super-2 number, since 2×22289192 = 9936159817122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

2228919 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2228919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4594 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (231600).

22228919 is an apocalyptic number.

2228919 is a deficient number, since it is larger than the sum of its proper divisors (1476681).

2228919 is a wasteful number, since it uses less digits than its factorization.

2228919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670.

The product of its digits is 5184, while the sum is 33.

The square root of 2228919 is about 1492.9564628615. The cubic root of 2228919 is about 130.6265415750.

The spelling of 2228919 in words is "two million, two hundred twenty-eight thousand, nine hundred nineteen".

Divisors: 1 3 7 11 21 33 77 231 9649 28947 67543 106139 202629 318417 742973 2228919