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2269440 = 28325197
BaseRepresentation
bin1000101010000100000000
311021022002100
420222010000
51040110230
6120350400
725201305
oct10520400
94238070
102269440
111310078
12915400
13615c84
144310ac
152ec660
hex22a100

2269440 has 108 divisors (see below), whose sum is σ = 7891884. Its totient is φ = 602112.

The previous prime is 2269439. The next prime is 2269441. The reversal of 2269440 is 449622.

It is an interprime number because it is at equal distance from previous prime (2269439) and next prime (2269441).

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 589824 = 1296^2 + 768^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11422 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (73073).

22269440 is an apocalyptic number.

2269440 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 2269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945942).

2269440 is an abundant number, since it is smaller than the sum of its proper divisors (5622444).

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

2269440 is a wasteful number, since it uses less digits than its factorization.

2269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2269440 is about 1506.4660633416. The cubic root of 2269440 is about 131.4133747845.

The spelling of 2269440 in words is "two million, two hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 197 240 256 288 320 360 384 394 480 576 591 640 720 768 788 960 985 1152 1182 1280 1440 1576 1773 1920 1970 2304 2364 2880 2955 3152 3546 3840 3940 4728 5760 5910 6304 7092 7880 8865 9456 11520 11820 12608 14184 15760 17730 18912 23640 25216 28368 31520 35460 37824 47280 50432 56736 63040 70920 75648 94560 113472 126080 141840 151296 189120 226944 252160 283680 378240 453888 567360 756480 1134720 2269440