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225326105984 = 27719314191019
BaseRepresentation
bin1101000111011001111…
…0111000010110000000
3210112121100211011121202
43101312132320112000
512142431440342414
6251302520240332
722164535204460
oct3216636702600
9715540734552
10225326105984
1187618792501
12378053100a8
131832c293bc5
14ac978b5ba0
155cdbab09de
hex34767b8580

225326105984 has 256 divisors, whose sum is σ = 559319040000. Its totient is φ = 88236656640.

The previous prime is 225326105969. The next prime is 225326105987. The reversal of 225326105984 is 489501623522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225326105987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221124227 + ... + 221125245.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840000).

Almost surely, 2225326105984 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 225326105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279659520000).

225326105984 is an abundant number, since it is smaller than the sum of its proper divisors (333992934016).

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

225326105984 is a wasteful number, since it uses less digits than its factorization.

225326105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 225326105984 in words is "two hundred twenty-five billion, three hundred twenty-six million, one hundred five thousand, nine hundred eighty-four".