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2822144 = 2121353
BaseRepresentation
bin1010110001000000000000
312022101020212
422301000000
51210302034
6140253252
732662553
oct12610000
95271225
102822144
111658356
12b41228
1377a710
1453669a
153ab2ce
hex2b1000

2822144 has 52 divisors (see below), whose sum is σ = 6192396. Its totient is φ = 1277952.

The previous prime is 2822143. The next prime is 2822159. The reversal of 2822144 is 4412282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 1638400 = 1088^2 + 1280^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822143) 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 3 ways as a sum of consecutive naturals, for example, 53222 + ... + 53274.

22822144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096198).

2822144 is an abundant number, since it is smaller than the sum of its proper divisors (3370252).

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

2822144 is an equidigital number, since it uses as much as digits as its factorization.

2822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 2822144 is about 1679.9238077961. The cubic root of 2822144 is about 141.3165598543.

The spelling of 2822144 in words is "two million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1024 1378 1664 1696 2048 2756 3328 3392 4096 5512 6656 6784 11024 13312 13568 22048 26624 27136 44096 53248 54272 88192 108544 176384 217088 352768 705536 1411072 2822144