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225199185001560 = 23325711312274012879
BaseRepresentation
bin110011001101000101000101…
…011011001111110001011000
31002112100211110101221011110100
4303031011011123033301120
5214004130412330022220
62114543024414015400
765302050511564050
oct6315050533176130
91075324411834410
10225199185001560
1165834490003710
122131113b4a7560
139887265b51433
143d879ad398560
151b07e3327ed90
hexccd1456cfc58

225199185001560 has 1536 divisors, whose sum is σ = 948768944947200. Its totient is φ = 44957583360000.

The previous prime is 225199185001541. The next prime is 225199185001561. The reversal of 225199185001560 is 65100581991522.

225199185001560 is a `hidden beast` number, since 2 + 2 + 5 + 19 + 9 + 18 + 50 + 0 + 1 + 560 = 666.

225199185001560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225199185001497 and 225199185001506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225199185001561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78221320201 + ... + 78221323079.

It is an arithmetic number, because the mean of its divisors is an integer number (617688115200).

Almost surely, 2225199185001560 is an apocalyptic number.

225199185001560 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 225199185001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474384472473600).

225199185001560 is an abundant number, since it is smaller than the sum of its proper divisors (723569759945640).

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

225199185001560 is a wasteful number, since it uses less digits than its factorization.

225199185001560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 225199185001560 in words is "two hundred twenty-five trillion, one hundred ninety-nine billion, one hundred eighty-five million, one thousand, five hundred sixty".