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232545225 = 352112511123
BaseRepresentation
bin11011101110001…
…01101111001001
3121012120112002010
431313011233021
5434012421400
635024130133
75522413263
oct1567055711
9535515063
10232545225
1110a2a1740
1265a66949
1339240933
1422c54b33
1515637450
hexddc5bc9

232545225 has 48 divisors (see below), whose sum is σ = 421473024. Its totient is φ = 112200000.

The previous prime is 232545221. The next prime is 232545241. The reversal of 232545225 is 522545232.

It is not a de Polignac number, because 232545225 - 22 = 232545221 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232545192 and 232545201.

It is not an unprimeable number, because it can be changed into a prime (232545221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206514 + ... + 207636.

It is an arithmetic number, because the mean of its divisors is an integer number (8780688).

Almost surely, 2232545225 is an apocalyptic number.

232545225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232545225 is a deficient number, since it is larger than the sum of its proper divisors (188927799).

232545225 is a wasteful number, since it uses less digits than its factorization.

232545225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1393 counting only the distinct ones).

The product of its digits is 24000, while the sum is 30.

The square root of 232545225 is about 15249.4335960389. The cubic root of 232545225 is about 614.9443402599.

The spelling of 232545225 in words is "two hundred thirty-two million, five hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 251 275 753 825 1123 1255 2761 3369 3765 5615 6275 8283 12353 13805 16845 18825 28075 37059 41415 61765 69025 84225 185295 207075 281873 308825 845619 926475 1409365 3100603 4228095 7046825 9301809 15503015 21140475 46509045 77515075 232545225