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225520064 = 2671145763
BaseRepresentation
bin11010111000100…
…10100111000000
3120201100121100222
431130102213000
5430213120224
634213402212
75405613620
oct1534224700
9521317328
10225520064
11106333620
1263639368
1337951133
1421d46880
1514beab5e
hexd7129c0

225520064 has 56 divisors (see below), whose sum is σ = 557954688. Its totient is φ = 87863040.

The previous prime is 225520039. The next prime is 225520073. The reversal of 225520064 is 460025522.

225520064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17954 + ... + 27809.

Almost surely, 2225520064 is an apocalyptic number.

It is an amenable number.

225520064 is an abundant number, since it is smaller than the sum of its proper divisors (332434624).

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

225520064 is a wasteful number, since it uses less digits than its factorization.

225520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45793 (or 45783 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 225520064 is about 15017.3254609468. The cubic root of 225520064 is about 608.6884514593.

Adding to 225520064 its reverse (460025522), we get a palindrome (685545586).

The spelling of 225520064 in words is "two hundred twenty-five million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 45763 91526 183052 320341 366104 503393 640682 732208 1006786 1281364 1464416 2013572 2562728 2928832 3523751 4027144 5125456 7047502 8054288 10250912 14095004 16108576 20501824 28190008 32217152 56380016 112760032 225520064