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225315432 = 2335115903
BaseRepresentation
bin11010110111000…
…00101001101000
3120200222012200000
431123200221220
5430140043212
634205143000
75404102206
oct1533405150
9520865600
10225315432
11106203901
126355aa60
13378abc54
1421cd2076
1514baa1dc
hexd6e0a68

225315432 has 48 divisors (see below), whose sum is σ = 632835840. Its totient is φ = 75104496.

The previous prime is 225315407. The next prime is 225315437. The reversal of 225315432 is 234513522.

It is a happy number.

225315432 is a `hidden beast` number, since 225 + 3 + 1 + 5 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225315396 and 225315405.

It is not an unprimeable number, because it can be changed into a prime (225315437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56008 + ... + 59895.

It is an arithmetic number, because the mean of its divisors is an integer number (13184080).

Almost surely, 2225315432 is an apocalyptic number.

It is an amenable number.

225315432 is an abundant number, since it is smaller than the sum of its proper divisors (407520408).

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

225315432 is a wasteful number, since it uses less digits than its factorization.

225315432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115924 (or 115908 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 225315432 is about 15010.5107174939. The cubic root of 225315432 is about 608.5042921943.

Adding to 225315432 its reverse (234513522), we get a palindrome (459828954).

The spelling of 225315432 in words is "two hundred twenty-five million, three hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 115903 231806 347709 463612 695418 927224 1043127 1390836 2086254 2781672 3129381 4172508 6258762 8345016 9388143 12517524 18776286 25035048 28164429 37552572 56328858 75105144 112657716 225315432