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2022228 = 22321329149
BaseRepresentation
bin111101101101101010100
310210201222100
413231231110
51004202403
6111202100
723121465
oct7555524
93721870
102022228
11116136a
12816330
1355a5b0
143a8d6c
1529e2a3
hex1edb54

2022228 has 72 divisors (see below), whose sum is σ = 5733000. Its totient is φ = 596736.

The previous prime is 2022217. The next prime is 2022233. The reversal of 2022228 is 8222202.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 2022084 = 12^2 + 1422^2 .

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 2022228.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13498 + ... + 13646.

It is an arithmetic number, because the mean of its divisors is an integer number (79625).

22022228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866500).

2022228 is an abundant number, since it is smaller than the sum of its proper divisors (3710772).

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

2022228 is a wasteful number, since it uses less digits than its factorization.

2022228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2022228 is about 1422.0506320100. The cubic root of 2022228 is about 126.4571451538.

The spelling of 2022228 in words is "two million, twenty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 149 156 174 234 261 298 348 377 447 468 522 596 754 894 1044 1131 1341 1508 1788 1937 2262 2682 3393 3874 4321 4524 5364 5811 6786 7748 8642 11622 12963 13572 17284 17433 23244 25926 34866 38889 51852 56173 69732 77778 112346 155556 168519 224692 337038 505557 674076 1011114 2022228