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224028 = 223272127
BaseRepresentation
bin110110101100011100
3102101022100
4312230130
524132103
64445100
71622100
oct665434
9371270
10224028
11143352
12a9790
137ac7c
145b900
15465a3
hex36b1c

224028 has 54 divisors (see below), whose sum is σ = 663936. Its totient is φ = 63504.

The previous prime is 224027. The next prime is 224033. The reversal of 224028 is 820422.

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 224028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1701 + ... + 1827.

2224028 is an apocalyptic number.

224028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

224028 is an abundant number, since it is smaller than the sum of its proper divisors (439908).

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

224028 is a wasteful number, since it uses less digits than its factorization.

224028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

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

The square root of 224028 is about 473.3159621226. The cubic root of 224028 is about 60.7343098229.

The spelling of 224028 in words is "two hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 127 147 196 252 254 294 381 441 508 588 762 882 889 1143 1524 1764 1778 2286 2667 3556 4572 5334 6223 8001 10668 12446 16002 18669 24892 32004 37338 56007 74676 112014 224028