Search a number
-
+
2251228 = 227374153
BaseRepresentation
bin1000100101100111011100
311020101002211
420211213130
51034014403
6120130204
725064230
oct10454734
94211084
102251228
1112a8421
12906964
1360a8b5
144285c0
152e706d
hex2259dc

2251228 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 898560.

The previous prime is 2251213. The next prime is 2251229. The reversal of 2251228 is 8221522.

2251228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2251199 and 2251208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251229) 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, 42450 + ... + 42502.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

22251228 is an apocalyptic number.

2251228 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 2251228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

2251228 is an abundant number, since it is smaller than the sum of its proper divisors (2575076).

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

2251228 is a wasteful number, since it uses less digits than its factorization.

2251228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 2251228 is about 1500.4092774973. The cubic root of 2251228 is about 131.0609044151.

The spelling of 2251228 in words is "two million, two hundred fifty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 37 41 53 74 82 106 148 164 212 259 287 371 518 574 742 1036 1148 1484 1517 1961 2173 3034 3922 4346 6068 7844 8692 10619 13727 15211 21238 27454 30422 42476 54908 60844 80401 160802 321604 562807 1125614 2251228