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2013228 = 223372663
BaseRepresentation
bin111101011100000101100
310210021122000
413223200230
51003410403
6111052300
723053320
oct7534054
93707560
102013228
111155628
12811090
13556479
143a5980
1529b7a3
hex1eb82c

2013228 has 48 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 574992.

The previous prime is 2013227. The next prime is 2013229. The reversal of 2013228 is 8223102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013227) and next prime (2013229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2013228.

It is not an unprimeable number, because it can be changed into a prime (2013227) 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 15 ways as a sum of consecutive naturals, for example, 576 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

22013228 is an apocalyptic number.

2013228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2013228 is an abundant number, since it is smaller than the sum of its proper divisors (3954132).

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

2013228 is a wasteful number, since it uses less digits than its factorization.

2013228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013228 is about 1418.8826589962. The cubic root of 2013228 is about 126.2692654324.

The spelling of 2013228 in words is "two million, thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2663 5326 7989 10652 15978 18641 23967 31956 37282 47934 55923 71901 74564 95868 111846 143802 167769 223692 287604 335538 503307 671076 1006614 2013228