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2225850 = 2352111971
BaseRepresentation
bin1000011111011010111010
311012002021220
420133122322
51032211400
6115412510
724630234
oct10373272
94162256
102225850
111290350
128b4136
135cc193
1441d254
152de7a0
hex21f6ba

2225850 has 96 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 504000.

The previous prime is 2225833. The next prime is 2225851. The reversal of 2225850 is 585222.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2225850.

It is not an unprimeable number, because it can be changed into a prime (2225851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31315 + ... + 31385.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22225850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2225850 is an abundant number, since it is smaller than the sum of its proper divisors (4202310).

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

2225850 is a wasteful number, since it uses less digits than its factorization.

2225850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2225850 is about 1491.9282824586. The cubic root of 2225850 is about 130.5665607811.

The spelling of 2225850 in words is "two million, two hundred twenty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 71 75 95 110 114 142 150 165 190 209 213 275 285 330 355 418 426 475 550 570 627 710 781 825 950 1045 1065 1254 1349 1425 1562 1650 1775 2090 2130 2343 2698 2850 3135 3550 3905 4047 4686 5225 5325 6270 6745 7810 8094 10450 10650 11715 13490 14839 15675 19525 20235 23430 29678 31350 33725 39050 40470 44517 58575 67450 74195 89034 101175 117150 148390 202350 222585 370975 445170 741950 1112925 2225850