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2228760 = 2332541151
BaseRepresentation
bin1000100000001000011000
311012020021200
420200020120
51032310020
6115434200
724641562
oct10401030
94166250
102228760
111292556
128b5960
136005c1
14420332
152e0590
hex220218

2228760 has 96 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 576000.

The previous prime is 2228753. The next prime is 2228771. The reversal of 2228760 is 678222.

It is a super-2 number, since 2×22287602 = 9934742275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14685 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

22228760 is an apocalyptic number.

2228760 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 2228760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2228760 is an abundant number, since it is smaller than the sum of its proper divisors (5240520).

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

2228760 is a wasteful number, since it uses less digits than its factorization.

2228760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2228760 is about 1492.9032118661. The cubic root of 2228760 is about 130.6234354185.

It can be divided in two parts, 22 and 28760, that added together give a palindrome (28782).

The spelling of 2228760 in words is "two million, two hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 151 164 180 205 246 302 328 360 369 410 453 492 604 615 738 755 820 906 984 1208 1230 1359 1476 1510 1640 1812 1845 2265 2460 2718 2952 3020 3624 3690 4530 4920 5436 6040 6191 6795 7380 9060 10872 12382 13590 14760 18120 18573 24764 27180 30955 37146 49528 54360 55719 61910 74292 92865 111438 123820 148584 185730 222876 247640 278595 371460 445752 557190 742920 1114380 2228760