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2272680 = 2332559107
BaseRepresentation
bin1000101010110110101000
311021110112100
420222312220
51040211210
6120413400
725213614
oct10526650
94243470
102272680
111312553
12917260
136175a7
14432344
152ed5c0
hex22ada8

2272680 has 96 divisors (see below), whose sum is σ = 7581600. Its totient is φ = 590208.

The previous prime is 2272667. The next prime is 2272691. The reversal of 2272680 is 862722.

2272680 = T25 + T26 + ... + T238.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21187 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

22272680 is an apocalyptic number.

2272680 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 2272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800).

2272680 is an abundant number, since it is smaller than the sum of its proper divisors (5308920).

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

2272680 is a wasteful number, since it uses less digits than its factorization.

2272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

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

The square root of 2272680 is about 1507.5410442174. The cubic root of 2272680 is about 131.4758831377.

The spelling of 2272680 in words is "two million, two hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 107 118 120 177 180 214 236 295 321 354 360 428 472 531 535 590 642 708 856 885 963 1062 1070 1180 1284 1416 1605 1770 1926 2124 2140 2360 2568 2655 3210 3540 3852 4248 4280 4815 5310 6313 6420 7080 7704 9630 10620 12626 12840 18939 19260 21240 25252 31565 37878 38520 50504 56817 63130 75756 94695 113634 126260 151512 189390 227268 252520 284085 378780 454536 568170 757560 1136340 2272680