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225665026741 = 7211238061229
BaseRepresentation
bin1101001000101010101…
…1110000101010110101
3210120110222120010111101
43102022223300222311
512144130221323431
6251400304410101
722206122035600
oct3221253605265
9716428503441
10225665026741
118778202a700
123789a916931
131838456b22b
14acca8db337
155d0b70b961
hex348aaf0ab5

225665026741 has 18 divisors (see below), whose sum is σ = 288542184630. Its totient is φ = 175842873360.

The previous prime is 225665026703. The next prime is 225665026751. The reversal of 225665026741 is 147620566522.

It is a happy number.

225665026741 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., 156032900100 + 69632126641 = 395010^2 + 263879^2 .

It is not a de Polignac number, because 225665026741 - 215 = 225664993973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225665026691 and 225665026700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225665026751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19024686 + ... + 19036543.

Almost surely, 2225665026741 is an apocalyptic number.

It is an amenable number.

225665026741 is a deficient number, since it is larger than the sum of its proper divisors (62877157889).

225665026741 is a wasteful number, since it uses less digits than its factorization.

225665026741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38061265 (or 38061247 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 225665026741 in words is "two hundred twenty-five billion, six hundred sixty-five million, twenty-six thousand, seven hundred forty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 38061229 266428603 418673519 1865000221 2930714633 4605408709 20515002431 32237860963 225665026741