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2262780 = 2232513967
BaseRepresentation
bin1000101000011011111100
311020221221200
420220123330
51034402110
6120255500
725143012
oct10503374
94227850
102262780
111306073
12911590
13612c30
1442c8b2
152ea6c0
hex2286fc

2262780 has 72 divisors (see below), whose sum is σ = 7399392. Its totient is φ = 556416.

The previous prime is 2262769. The next prime is 2262811. The reversal of 2262780 is 872622.

2262780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1857 + ... + 2823.

22262780 is an apocalyptic number.

2262780 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 2262780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699696).

2262780 is an abundant number, since it is smaller than the sum of its proper divisors (5136612).

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

2262780 is a wasteful number, since it uses less digits than its factorization.

2262780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

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

The square root of 2262780 is about 1504.2539679190. The cubic root of 2262780 is about 131.2846983091.

The spelling of 2262780 in words is "two million, two hundred sixty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 967 1170 1934 2340 2901 3868 4835 5802 8703 9670 11604 12571 14505 17406 19340 25142 29010 34812 37713 43515 50284 58020 62855 75426 87030 113139 125710 150852 174060 188565 226278 251420 377130 452556 565695 754260 1131390 2262780