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2265188836 = 225324492
BaseRepresentation
bin1000011100000100…
…0000100111100100
312211212100111220211
42013001000213210
514114342020321
61012434505204
7110063534041
oct20701004744
95755314824
102265188836
11a62704999
12532735204
132a13a7331
14176baa1c8
15d3ce70e1
hex870409e4

2265188836 has 27 divisors (see below), whose sum is σ = 4049304091. Its totient is φ = 1108749824.

The previous prime is 2265188819. The next prime is 2265188837. The reversal of 2265188836 is 6388815622.

The square root of 2265188836 is 47594.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 253128100 + 2012060736 = 15910^2 + 44856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2265188836.

It is not an unprimeable number, because it can be changed into a prime (2265188837) 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 8 ways as a sum of consecutive naturals, for example, 5044740 + ... + 5045188.

Almost surely, 22265188836 is an apocalyptic number.

2265188836 is the 47594-th square number.

It is an amenable number.

2265188836 is a deficient number, since it is larger than the sum of its proper divisors (1784115255).

2265188836 is an frugal number, since it uses more digits than its factorization.

2265188836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The cubic root of 2265188836 is about 1313.3126803822.

Multiplying 2265188836 by its sum of digits (49), we get a square (110994252964 = 3331582).

The spelling of 2265188836 in words is "two billion, two hundred sixty-five million, one hundred eighty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 53 106 212 449 898 1796 2809 5618 11236 23797 47594 95188 201601 403202 806404 1261241 2522482 5044964 10684853 21369706 42739412 566297209 1132594418 2265188836