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2264064 = 21031167
BaseRepresentation
bin1000101000110000000000
311021000201020
420220300000
51034422224
6120305440
725146525
oct10506000
94230636
102264064
111307030
12912280
136136aa
1442d14c
152eac79
hex228c00

2264064 has 88 divisors (see below), whose sum is σ = 6681408. Its totient is φ = 675840.

The previous prime is 2264057. The next prime is 2264069. The reversal of 2264064 is 4604622.

It is a tau number, because it is divible by the number of its divisors (88).

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 217 + 219 + 67 + 44 + 0 + 67 + 410 .

It is not an unprimeable number, because it can be changed into a prime (2264069) 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 7 ways as a sum of consecutive naturals, for example, 33759 + ... + 33825.

22264064 is an apocalyptic number.

2264064 is a gapful number since it is divisible by the number (24) 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 2264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340704).

2264064 is an abundant number, since it is smaller than the sum of its proper divisors (4417344).

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

2264064 is a wasteful number, since it uses less digits than its factorization.

2264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264064 is about 1504.6806970251. The cubic root of 2264064 is about 131.3095258336.

Adding to 2264064 its reverse (4604622), we get a palindrome (6868686).

The spelling of 2264064 in words is "two million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 128 132 134 176 192 201 256 264 268 352 384 402 512 528 536 704 737 768 804 1024 1056 1072 1408 1474 1536 1608 2112 2144 2211 2816 2948 3072 3216 4224 4288 4422 5632 5896 6432 8448 8576 8844 11264 11792 12864 16896 17152 17688 23584 25728 33792 34304 35376 47168 51456 68608 70752 94336 102912 141504 188672 205824 283008 377344 566016 754688 1132032 2264064