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2270016 = 26327563
BaseRepresentation
bin1000101010001101000000
311021022212200
420222031000
51040120031
6120353200
725203060
oct10521500
94238780
102270016
111310551
12915800
13616308
144313a0
152ec8e6
hex22a340

2270016 has 84 divisors (see below), whose sum is σ = 7449312. Its totient is φ = 647424.

The previous prime is 2270011. The next prime is 2270071. The reversal of 2270016 is 6100722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3751 + ... + 4313.

22270016 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 2270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724656).

2270016 is an abundant number, since it is smaller than the sum of its proper divisors (5179296).

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

2270016 is a wasteful number, since it uses less digits than its factorization.

2270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2270016 is about 1506.6572271091. The cubic root of 2270016 is about 131.4244917268.

Adding to 2270016 its reverse (6100722), we get a palindrome (8370738).

The spelling of 2270016 in words is "two million, two hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 563 576 672 1008 1126 1344 1689 2016 2252 3378 3941 4032 4504 5067 6756 7882 9008 10134 11823 13512 15764 18016 20268 23646 27024 31528 35469 36032 40536 47292 54048 63056 70938 81072 94584 108096 126112 141876 162144 189168 252224 283752 324288 378336 567504 756672 1135008 2270016