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252321225 = 352132171171
BaseRepresentation
bin11110000101000…
…01110111001001
3122120210020122120
433002201313021
51004043234400
641012041453
76152460252
oct1702416711
9576706576
10252321225
1111a479742
1270603289
1340376100
1425721b29
1517241ca0
hexf0a1dc9

252321225 has 72 divisors (see below), whose sum is σ = 478710432. Its totient is φ = 116812800.

The previous prime is 252321211. The next prime is 252321227. The reversal of 252321225 is 522123252.

252321225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252321225 - 26 = 252321161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252321195 and 252321204.

It is not an unprimeable number, because it can be changed into a prime (252321227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214890 + ... + 216060.

It is an arithmetic number, because the mean of its divisors is an integer number (6648756).

Almost surely, 2252321225 is an apocalyptic number.

252321225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252321225 is a deficient number, since it is larger than the sum of its proper divisors (226389207).

252321225 is a wasteful number, since it uses less digits than its factorization.

252321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1209 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 252321225 is about 15884.6222806839. The cubic root of 252321225 is about 631.9042284309.

Adding to 252321225 its reverse (522123252), we get a palindrome (774444477).

The spelling of 252321225 in words is "two hundred fifty-two million, three hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 169 195 221 255 325 425 507 663 845 975 1105 1171 1275 2535 2873 3315 3513 4225 5525 5855 8619 12675 14365 15223 16575 17565 19907 29275 43095 45669 59721 71825 76115 87825 99535 197899 215475 228345 258791 298605 380575 497675 593697 776373 989495 1141725 1293955 1493025 2968485 3364283 3881865 4947475 6469775 10092849 14842425 16821415 19409325 50464245 84107075 252321225