Search a number
-
+
225537067392 = 27371319379181
BaseRepresentation
bin1101001000001100001…
…1101000100110000000
3210120011001210010021020
43102003003220212000
512143344442124032
6251335454025440
722203006304350
oct3220303504600
9716131703236
10225537067392
118771688197a
1237863aa8280
1318363bb8540
14acb790cb60
155d00382b2c
hex34830e8980

225537067392 has 512 divisors, whose sum is σ = 797203276800. Its totient is φ = 54822666240.

The previous prime is 225537067387. The next prime is 225537067439. The reversal of 225537067392 is 293760735522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24561042 + ... + 24570222.

It is an arithmetic number, because the mean of its divisors is an integer number (1557037650).

Almost surely, 2225537067392 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 225537067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398601638400).

225537067392 is an abundant number, since it is smaller than the sum of its proper divisors (571666209408).

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

225537067392 is a wasteful number, since it uses less digits than its factorization.

225537067392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 225537067392 in words is "two hundred twenty-five billion, five hundred thirty-seven million, sixty-seven thousand, three hundred ninety-two".