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2286980 = 225412789
BaseRepresentation
bin1000101110010110000100
311022012010222
420232112010
51041140410
6121003512
725303403
oct10562604
94265128
102286980
111322273
12923598
13620c57
1443763a
15302955
hex22e584

2286980 has 24 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 892160.

The previous prime is 2286979. The next prime is 2286983. The reversal of 2286980 is 896822.

It can be written as a sum of positive squares in 4 ways, for example, as 24964 + 2262016 = 158^2 + 1504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2286980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

22286980 is an apocalyptic number.

2286980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286980 is an abundant number, since it is smaller than the sum of its proper divisors (2634580).

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

2286980 is a wasteful number, since it uses less digits than its factorization.

2286980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2286980 is about 1512.2764297575. The cubic root of 2286980 is about 131.7510612778.

The spelling of 2286980 in words is "two million, two hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2789 5578 11156 13945 27890 55780 114349 228698 457396 571745 1143490 2286980