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2281140 = 22325192329
BaseRepresentation
bin1000101100111010110100
311021220010200
420230322310
51040444030
6120520500
725250361
oct10547264
94256120
102281140
111318944
12920130
1361b3b4
14435468
15300d60
hex22ceb4

2281140 has 144 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 532224.

The previous prime is 2281127. The next prime is 2281151. The reversal of 2281140 is 411822.

2281140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78646 + ... + 78674.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

22281140 is an apocalyptic number.

2281140 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 2281140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2281140 is an abundant number, since it is smaller than the sum of its proper divisors (5581260).

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

2281140 is a wasteful number, since it uses less digits than its factorization.

2281140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2281140 is about 1510.3443316012. The cubic root of 2281140 is about 131.6388197977.

Adding to 2281140 its reverse (411822), we get a palindrome (2692962).

The spelling of 2281140 in words is "two million, two hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 29 30 36 38 45 46 57 58 60 69 76 87 90 92 95 114 115 116 138 145 171 174 180 190 207 228 230 261 276 285 290 342 345 348 380 414 435 437 460 522 551 570 580 667 684 690 828 855 870 874 1035 1044 1102 1140 1305 1311 1334 1380 1653 1710 1740 1748 2001 2070 2185 2204 2610 2622 2668 2755 3306 3335 3420 3933 4002 4140 4370 4959 5220 5244 5510 6003 6555 6612 6670 7866 8004 8265 8740 9918 10005 11020 12006 12673 13110 13340 15732 16530 19665 19836 20010 24012 24795 25346 26220 30015 33060 38019 39330 40020 49590 50692 60030 63365 76038 78660 99180 114057 120060 126730 152076 190095 228114 253460 380190 456228 570285 760380 1140570 2281140