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225325464 = 233713103171
BaseRepresentation
bin11010110111000…
…11000110011000
3120200222201102120
431123203012120
5430140403324
634205301240
75404143360
oct1533430630
9520881376
10225325464
111062103a1
1263564820
13378b36a0
1421cd59a0
1514bad179
hexd6e3198

225325464 has 64 divisors (see below), whose sum is σ = 693315840. Its totient is φ = 59425920.

The previous prime is 225325403. The next prime is 225325481. The reversal of 225325464 is 464523522.

It is a happy number.

225325464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49402 + ... + 53769.

It is an arithmetic number, because the mean of its divisors is an integer number (10833060).

Almost surely, 2225325464 is an apocalyptic number.

225325464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225325464 is an abundant number, since it is smaller than the sum of its proper divisors (467990376).

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

225325464 is a wasteful number, since it uses less digits than its factorization.

225325464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103200 (or 103196 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 225325464 is about 15010.8448796195. The cubic root of 225325464 is about 608.5133231255.

Adding to 225325464 its reverse (464523522), we get a palindrome (689848986).

The spelling of 225325464 in words is "two hundred twenty-five million, three hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 103171 206342 309513 412684 619026 722197 825368 1238052 1341223 1444394 2166591 2476104 2682446 2888788 4023669 4333182 5364892 5777576 8047338 8666364 9388561 10729784 16094676 17332728 18777122 28165683 32189352 37554244 56331366 75108488 112662732 225325464