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2264016 = 243101467
BaseRepresentation
bin1000101000101111010000
311021000122110
420220233100
51034422031
6120305320
725146426
oct10505720
94230573
102264016
111306a97
12912240
13613671
1442d116
152eac46
hex228bd0

2264016 has 40 divisors (see below), whose sum is σ = 5919264. Its totient is φ = 745600.

The previous prime is 2263969. The next prime is 2264027. The reversal of 2264016 is 6104622.

It is a happy number.

2264016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2263983 and 2264001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4615 + ... + 5081.

22264016 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 2264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959632).

2264016 is an abundant number, since it is smaller than the sum of its proper divisors (3655248).

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

2264016 is a wasteful number, since it uses less digits than its factorization.

2264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2264016 is about 1504.6647467127. The cubic root of 2264016 is about 131.3085978708.

Adding to 2264016 its reverse (6104622), we get a palindrome (8368638).

Subtracting 2264016 from its reverse (6104622), we obtain a triangular number (3840606 = T2771).

The spelling of 2264016 in words is "two million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 467 606 808 934 1212 1401 1616 1868 2424 2802 3736 4848 5604 7472 11208 22416 47167 94334 141501 188668 283002 377336 566004 754672 1132008 2264016