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2236980 = 2235231621
BaseRepresentation
bin1000100010001000110100
311012122120010
420202020310
51033040410
6115540220
725004544
oct10421064
94178503
102236980
111298749
128ba670
13604275
14423324
152e2c20
hex222234

2236980 has 48 divisors (see below), whose sum is σ = 6539904. Its totient is φ = 570240.

The previous prime is 2236951. The next prime is 2236981. The reversal of 2236980 is 896322.

2236980 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 217 + 221 + 35 + 65 + 93 + 8 + 0 .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 2190.

It is an arithmetic number, because the mean of its divisors is an integer number (136248).

22236980 is an apocalyptic number.

2236980 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 2236980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269952).

2236980 is an abundant number, since it is smaller than the sum of its proper divisors (4302924).

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

2236980 is a wasteful number, since it uses less digits than its factorization.

2236980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2236980 is about 1495.6537032348. The cubic root of 2236980 is about 130.7838246511.

The spelling of 2236980 in words is "two million, two hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1621 3242 4863 6484 8105 9726 16210 19452 24315 32420 37283 48630 74566 97260 111849 149132 186415 223698 372830 447396 559245 745660 1118490 2236980