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225340064 = 2537190321
BaseRepresentation
bin11010110111001…
…10101010100000
3120201000110110022
431123212222200
5430141340224
634205453012
75404234055
oct1533465240
9521013408
10225340064
11106220364
1263571168
13378ba221
1421cdb02c
1514bb265e
hexd6e6aa0

225340064 has 24 divisors (see below), whose sum is σ = 455630868. Its totient is φ = 109624320.

The previous prime is 225340051. The next prime is 225340097. The reversal of 225340064 is 460043522.

225340064 is digitally balanced in base 2, 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 156450064 + 68890000 = 12508^2 + 8300^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93977 + ... + 96344.

Almost surely, 2225340064 is an apocalyptic number.

It is an amenable number.

225340064 is an abundant number, since it is smaller than the sum of its proper divisors (230290804).

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

225340064 is a wasteful number, since it uses less digits than its factorization.

225340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190368 (or 190360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 225340064 is about 15011.3311868069. The cubic root of 225340064 is about 608.5264657481.

Adding to 225340064 its reverse (460043522), we get a palindrome (685383586).

The spelling of 225340064 in words is "two hundred twenty-five million, three hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 190321 380642 761284 1522568 3045136 6090272 7041877 14083754 28167508 56335016 112670032 225340064