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2243840 = 2851753
BaseRepresentation
bin1000100011110100000000
311012222222012
420203310000
51033300330
6120032052
725033544
oct10436400
94188865
102243840
1112a2915
12902628
13607421
14425a24
152e4c95
hex223d00

2243840 has 36 divisors (see below), whose sum is σ = 5377764. Its totient is φ = 897024.

The previous prime is 2243833. The next prime is 2243851. The reversal of 2243840 is 483422.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 1893376 = 592^2 + 1376^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 404 + ... + 2156.

22243840 is an apocalyptic number.

2243840 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 2243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688882).

2243840 is an abundant number, since it is smaller than the sum of its proper divisors (3133924).

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

2243840 is an equidigital number, since it uses as much as digits as its factorization.

2243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2243840 is about 1497.9452593469. The cubic root of 2243840 is about 130.9173769540.

The spelling of 2243840 in words is "two million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1753 3506 7012 8765 14024 17530 28048 35060 56096 70120 112192 140240 224384 280480 448768 560960 1121920 2243840