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225006444450 = 232525923792
BaseRepresentation
bin1101000110001101101…
…1011101111110100010
3210111210002022200102200
43101203123131332202
512141303122210300
6251211100554030
722153604135604
oct3214333357642
9714702280380
10225006444450
11874742aa017
1237736252916
13182aaca0a78
14ac67265174
155cbd9bb200
hex34636ddfa2

225006444450 has 162 divisors, whose sum is σ = 616563838449. Its totient is φ = 58829107680.

The previous prime is 225006444437. The next prime is 225006444529. The reversal of 225006444450 is 54444600522.

225006444450 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 644 + 4 + 4 + 5 + 0 = 666.

225006444450 is digitally balanced in base 7, 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 2 ways, for example, as 220506315561 + 4500128889 = 469581^2 + 67083^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335415.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 593684361 + ... + 593684739.

Almost surely, 2225006444450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225006444450

225006444450 is an abundant number, since it is smaller than the sum of its proper divisors (391557393999).

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

225006444450 is an equidigital number, since it uses as much as digits as its factorization.

225006444450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 225006444450 in words is "two hundred twenty-five billion, six million, four hundred forty-four thousand, four hundred fifty".