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2243280 = 243513719
BaseRepresentation
bin1000100011101011010000
311012222012110
420203223100
51033241110
6120025320
725032114
oct10435320
94188173
102243280
1112a2456
12902240
136070b0
14425744
152e4a20
hex223ad0

2243280 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 551424.

The previous prime is 2243261. The next prime is 2243281. The reversal of 2243280 is 823422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22243280 is an apocalyptic number.

2243280 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 2243280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2243280 is an abundant number, since it is smaller than the sum of its proper divisors (5256240).

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

2243280 is a wasteful number, since it uses less digits than its factorization.

2243280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

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

The square root of 2243280 is about 1497.7583249643. The cubic root of 2243280 is about 130.9064849369.

The spelling of 2243280 in words is "two million, two hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 719 780 1040 1438 1560 2157 2876 3120 3595 4314 5752 7190 8628 9347 10785 11504 14380 17256 18694 21570 28041 28760 34512 37388 43140 46735 56082 57520 74776 86280 93470 112164 140205 149552 172560 186940 224328 280410 373880 448656 560820 747760 1121640 2243280