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2224980 = 2232547263
BaseRepresentation
bin1000011111001101010100
311012001002200
420133031110
51032144410
6115404500
724624552
oct10371524
94161080
102224980
11128a72a
128b3730
135cb974
1441cbd2
152de3c0
hex21f354

2224980 has 72 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 578496.

The previous prime is 2224979. The next prime is 2224987. The reversal of 2224980 is 894222.

2224980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224987) 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 23 ways as a sum of consecutive naturals, for example, 8329 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

22224980 is an apocalyptic number.

2224980 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 2224980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2224980 is an abundant number, since it is smaller than the sum of its proper divisors (4693932).

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

2224980 is a wasteful number, since it uses less digits than its factorization.

2224980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2224980 is about 1491.6366849873. The cubic root of 2224980 is about 130.5495473988.

The spelling of 2224980 in words is "two million, two hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 263 282 423 470 526 564 705 789 846 940 1052 1315 1410 1578 1692 2115 2367 2630 2820 3156 3945 4230 4734 5260 7890 8460 9468 11835 12361 15780 23670 24722 37083 47340 49444 61805 74166 111249 123610 148332 185415 222498 247220 370830 444996 556245 741660 1112490 2224980