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2144256 = 2113349
BaseRepresentation
bin1000001011100000000000
311000221100220
420023200000
51022104011
6113543040
724140322
oct10134000
94027326
102144256
111235014
12874a80
135a0cba
143db612
152c5506
hex20b800

2144256 has 48 divisors (see below), whose sum is σ = 5733000. Its totient is φ = 712704.

The previous prime is 2144251. The next prime is 2144269. The reversal of 2144256 is 6524412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 1 + 43 + 44 + 221 + 53 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144251) 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, 5970 + ... + 6318.

22144256 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 2144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866500).

2144256 is an abundant number, since it is smaller than the sum of its proper divisors (3588744).

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

2144256 is an equidigital number, since it uses as much as digits as its factorization.

2144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

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

The square root of 2144256 is about 1464.3278321469. The cubic root of 2144256 is about 128.9512465247.

Adding to 2144256 its reverse (6524412), we get a palindrome (8668668).

The spelling of 2144256 in words is "two million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 349 384 512 698 768 1024 1047 1396 1536 2048 2094 2792 3072 4188 5584 6144 8376 11168 16752 22336 33504 44672 67008 89344 134016 178688 268032 357376 536064 714752 1072128 2144256