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2225340 = 2233513317
BaseRepresentation
bin1000011111010010111100
311012001121000
420133102330
51032202330
6115410300
724625605
oct10372274
94161530
102225340
11128aa27
128b3990
135cbb90
1441cdac
152de560
hex21f4bc

2225340 has 96 divisors (see below), whose sum is σ = 7479360. Its totient is φ = 546048.

The previous prime is 2225339. The next prime is 2225371. The reversal of 2225340 is 435222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6862 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (77910).

22225340 is an apocalyptic number.

2225340 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 2225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739680).

2225340 is an abundant number, since it is smaller than the sum of its proper divisors (5254020).

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

2225340 is a wasteful number, since it uses less digits than its factorization.

2225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2225340 is about 1491.7573529231. The cubic root of 2225340 is about 130.5565879569.

The spelling of 2225340 in words is "two million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 317 351 390 468 540 585 634 702 780 951 1170 1268 1404 1585 1755 1902 2340 2853 3170 3510 3804 4121 4755 5706 6340 7020 8242 8559 9510 11412 12363 14265 16484 17118 19020 20605 24726 28530 34236 37089 41210 42795 49452 57060 61815 74178 82420 85590 111267 123630 148356 171180 185445 222534 247260 370890 445068 556335 741780 1112670 2225340