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2224890 = 232559419
BaseRepresentation
bin1000011111001011111010
311012000222100
420133023322
51032144030
6115404230
724624363
oct10371372
94160870
102224890
11128a658
128b3676
135cb905
1441cb6a
152de360
hex21f2fa

2224890 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 581856.

The previous prime is 2224879. The next prime is 2224891. The reversal of 2224890 is 984222.

It is not an unprimeable number, because it can be changed into a prime (2224891) 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 23 ways as a sum of consecutive naturals, for example, 5101 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

22224890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2224890 is an abundant number, since it is smaller than the sum of its proper divisors (3671910).

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

2224890 is a wasteful number, since it uses less digits than its factorization.

2224890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

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

The square root of 2224890 is about 1491.6065164781. The cubic root of 2224890 is about 130.5477871407.

The spelling of 2224890 in words is "two million, two hundred twenty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 419 531 590 838 885 1062 1257 1770 2095 2514 2655 3771 4190 5310 6285 7542 12570 18855 24721 37710 49442 74163 123605 148326 222489 247210 370815 444978 741630 1112445 2224890