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2589228 = 2232711013
BaseRepresentation
bin1001111000001000101100
311212112202100
421320020230
51130323403
6131255100
731002525
oct11701054
94775670
102589228
111509364
12a4a490
136c86b5
144b584c
153622a3
hex27822c

2589228 has 36 divisors (see below), whose sum is σ = 6643728. Its totient is φ = 850080.

The previous prime is 2589227. The next prime is 2589229. The reversal of 2589228 is 8229852.

It is an interprime number because it is at equal distance from previous prime (2589227) and next prime (2589229).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2589192 and 2589201.

It is not an unprimeable number, because it can be changed into a prime (2589227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050 + ... + 3062.

It is an arithmetic number, because the mean of its divisors is an integer number (184548).

22589228 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 2589228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321864).

2589228 is an abundant number, since it is smaller than the sum of its proper divisors (4054500).

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

2589228 is a wasteful number, since it uses less digits than its factorization.

2589228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1089 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2589228 is about 1609.1078273379. The cubic root of 2589228 is about 137.3167233082.

It can be divided in two parts, 25 and 89228, that added together give a triangular number (89253 = T422).

The spelling of 2589228 in words is "two million, five hundred eighty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1013 1278 2026 2556 3039 4052 6078 9117 12156 18234 36468 71923 143846 215769 287692 431538 647307 863076 1294614 2589228