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2225860 = 2257131223
BaseRepresentation
bin1000011111011011000100
311012002022021
420133123010
51032211420
6115412524
724630250
oct10373304
94162267
102225860
11129035a
128b4144
135cc1a0
1441d260
152de7aa
hex21f6c4

2225860 has 48 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 703872.

The previous prime is 2225851. The next prime is 2225863. The reversal of 2225860 is 685222.

2225860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2225863) 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, 1209 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

22225860 is an apocalyptic number.

2225860 is a gapful number since it is divisible by the number (20) 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 2225860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

2225860 is an abundant number, since it is smaller than the sum of its proper divisors (3531836).

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

2225860 is a wasteful number, since it uses less digits than its factorization.

2225860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2225860 is about 1491.9316338224. The cubic root of 2225860 is about 130.5667563115.

The spelling of 2225860 in words is "two million, two hundred twenty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1223 1820 2446 4892 6115 8561 12230 15899 17122 24460 31798 34244 42805 63596 79495 85610 111293 158990 171220 222586 317980 445172 556465 1112930 2225860