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2263797 = 32251533
BaseRepresentation
bin1000101000101011110101
311021000100100
420220223311
51034420142
6120304313
725145664
oct10505365
94230310
102263797
111306908
12912099
13613533
1442cddb
152eab4c
hex228af5

2263797 has 6 divisors (see below), whose sum is σ = 3269942. Its totient is φ = 1509192.

The previous prime is 2263787. The next prime is 2263801. The reversal of 2263797 is 7973622.

2263797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1758276 + 505521 = 1326^2 + 711^2 .

It is not a de Polignac number, because 2263797 - 218 = 2001653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263777) 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 5 ways as a sum of consecutive naturals, for example, 125758 + ... + 125775.

22263797 is an apocalyptic number.

It is an amenable number.

2263797 is a deficient number, since it is larger than the sum of its proper divisors (1006145).

2263797 is a wasteful number, since it uses less digits than its factorization.

2263797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251539 (or 251536 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 2263797 is about 1504.5919712666. The cubic root of 2263797 is about 131.3043638739.

The spelling of 2263797 in words is "two million, two hundred sixty-three thousand, seven hundred ninety-seven".

Divisors: 1 3 9 251533 754599 2263797