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225495485100 = 2232521763123357
BaseRepresentation
bin1101001000000010010…
…1000000101010101100
3210120001011112112002100
43102000211000222230
512143303321010400
6251331410455100
722201662666234
oct3220045005254
9716034475070
10225495485100
11876a5360546
1237851b94490
13183583b9732
14acb21a6cc4
155ceb8bc100
hex3480940aac

225495485100 has 216 divisors, whose sum is σ = 749597835168. Its totient is φ = 56502835200.

The previous prime is 225495485099. The next prime is 225495485101. The reversal of 225495485100 is 1584594522.

225495485100 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 95 + 48 + 510 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225495485099) and next prime (225495485101).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225495485101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9642622 + ... + 9665978.

It is an arithmetic number, because the mean of its divisors is an integer number (3470360348).

Almost surely, 2225495485100 is an apocalyptic number.

225495485100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225495485100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374798917584).

225495485100 is an abundant number, since it is smaller than the sum of its proper divisors (524102350068).

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

225495485100 is a wasteful number, since it uses less digits than its factorization.

225495485100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025 (or 24015 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 225495485100 in words is "two hundred twenty-five billion, four hundred ninety-five million, four hundred eighty-five thousand, one hundred".