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2265016 = 231329751
BaseRepresentation
bin1000101000111110111000
311021002000111
420220332320
51034440031
6120314104
725152355
oct10507670
94232014
102265016
111307816
12912934
13613c60
1442d62c
152eb1b1
hex228fb8

2265016 has 32 divisors (see below), whose sum is σ = 4737600. Its totient is φ = 1008000.

The previous prime is 2265001. The next prime is 2265019. The reversal of 2265016 is 6105622.

2265016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2641 + ... + 3391.

It is an arithmetic number, because the mean of its divisors is an integer number (148050).

22265016 is an apocalyptic number.

2265016 is a gapful number since it is divisible by the number (26) 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 2265016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368800).

2265016 is an abundant number, since it is smaller than the sum of its proper divisors (2472584).

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

2265016 is a wasteful number, since it uses less digits than its factorization.

2265016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2265016 is about 1504.9970099638. The cubic root of 2265016 is about 131.3279277209.

Subtracting 2265016 from its reverse (6105622), we obtain a triangular number (3840606 = T2771).

The spelling of 2265016 in words is "two million, two hundred sixty-five thousand, sixteen".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 751 754 1502 1508 3004 3016 6008 9763 19526 21779 39052 43558 78104 87116 174232 283127 566254 1132508 2265016