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2242590 = 235759181
BaseRepresentation
bin1000100011100000011110
311012221020220
420203200132
51033230330
6120022210
725030110
oct10434036
94187226
102242590
1112a1989
12901966
1360699c
144253b0
152e4710
hex22381e

2242590 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 501120.

The previous prime is 2242549. The next prime is 2242651. The reversal of 2242590 is 952422.

It is a d-powerful number, because it can be written as 23 + 213 + 43 + 221 + 57 + 95 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2242590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300 + ... + 12480.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22242590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2242590 is an abundant number, since it is smaller than the sum of its proper divisors (4047330).

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

2242590 is a wasteful number, since it uses less digits than its factorization.

2242590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2242590 is about 1497.5279630110. The cubic root of 2242590 is about 130.8930619228.

The spelling of 2242590 in words is "two million, two hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 181 210 295 354 362 413 543 590 826 885 905 1086 1239 1267 1770 1810 2065 2478 2534 2715 3801 4130 5430 6195 6335 7602 10679 12390 12670 19005 21358 32037 38010 53395 64074 74753 106790 149506 160185 224259 320370 373765 448518 747530 1121295 2242590