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2224380 = 2235131283
BaseRepresentation
bin1000011111000011111100
311012000021110
420133003330
51032140010
6115402020
724623034
oct10370374
94160243
102224380
11128a234
128b3310
135cb602
1441c8c4
152de120
hex21f0fc

2224380 has 48 divisors (see below), whose sum is σ = 6297984. Its totient is φ = 586560.

The previous prime is 2224379. The next prime is 2224429. The reversal of 2224380 is 834222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7719 + ... + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (131208).

22224380 is an apocalyptic number.

2224380 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 2224380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148992).

2224380 is an abundant number, since it is smaller than the sum of its proper divisors (4073604).

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

2224380 is a wasteful number, since it uses less digits than its factorization.

2224380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2224380 is about 1491.4355500658. The cubic root of 2224380 is about 130.5378114476.

The spelling of 2224380 in words is "two million, two hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 283 393 524 566 655 786 849 1132 1310 1415 1572 1698 1965 2620 2830 3396 3930 4245 5660 7860 8490 16980 37073 74146 111219 148292 185365 222438 370730 444876 556095 741460 1112190 2224380