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2231280 = 243351033
BaseRepresentation
bin1000100000101111110000
311012100202000
420200233300
51032400110
6115454000
724652122
oct10405760
94170660
102231280
111294437
128b7300
136017ac
14421212
152e11c0
hex220bf0

2231280 has 80 divisors (see below), whose sum is σ = 7692960. Its totient is φ = 594432.

The previous prime is 2231279. The next prime is 2231293. The reversal of 2231280 is 821322.

It is a happy number.

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

It is a super-3 number, since 3×22312803 = 33326021696979456000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 1644 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (96162).

22231280 is an apocalyptic number.

2231280 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 2231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846480).

2231280 is an abundant number, since it is smaller than the sum of its proper divisors (5461680).

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

2231280 is a wasteful number, since it uses less digits than its factorization.

2231280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2231280 is about 1493.7469665241. The cubic root of 2231280 is about 130.6726476970.

The spelling of 2231280 in words is "two million, two hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1033 1080 2066 2160 3099 4132 5165 6198 8264 9297 10330 12396 15495 16528 18594 20660 24792 27891 30990 37188 41320 46485 49584 55782 61980 74376 82640 92970 111564 123960 139455 148752 185940 223128 247920 278910 371880 446256 557820 743760 1115640 2231280