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2243580 = 223561613
BaseRepresentation
bin1000100011101111111100
311012222121120
420203233330
51033243310
6120030540
725033023
oct10435774
94188546
102243580
1112a26a9
12902450
13607281
144258ba
152e4b70
hex223bfc

2243580 has 48 divisors (see below), whose sum is σ = 6395424. Its totient is φ = 587520.

The previous prime is 2243551. The next prime is 2243587. The reversal of 2243580 is 853422.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2243580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354 + ... + 3966.

It is an arithmetic number, because the mean of its divisors is an integer number (133238).

22243580 is an apocalyptic number.

2243580 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 2243580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197712).

2243580 is an abundant number, since it is smaller than the sum of its proper divisors (4151844).

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

2243580 is a wasteful number, since it uses less digits than its factorization.

2243580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2243580 is about 1497.8584712849. The cubic root of 2243580 is about 130.9123201715.

The spelling of 2243580 in words is "two million, two hundred forty-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 613 732 915 1220 1226 1830 1839 2452 3065 3660 3678 6130 7356 9195 12260 18390 36780 37393 74786 112179 149572 186965 224358 373930 448716 560895 747860 1121790 2243580