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455355225 = 325213413797
BaseRepresentation
bin11011001001000…
…010101101011001
31011201211102221100
4123021002231121
51413032331400
6113103502013
714166312153
oct3311025531
91151742840
10455355225
11214044136
121085b7909
1373453380
1444693ad3
1529e9a100
hex1b242b59

455355225 has 72 divisors (see below), whose sum is σ = 899989272. Its totient is φ = 218649600.

The previous prime is 455355221. The next prime is 455355233. The reversal of 455355225 is 522553554.

It can be written as a sum of positive squares in 12 ways, for example, as 432972864 + 22382361 = 20808^2 + 4731^2 .

It is not a de Polignac number, because 455355225 - 22 = 455355221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 455355225.

It is not an unprimeable number, because it can be changed into a prime (455355221) 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, 118027 + ... + 121823.

It is an arithmetic number, because the mean of its divisors is an integer number (12499851).

Almost surely, 2455355225 is an apocalyptic number.

455355225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

455355225 is a deficient number, since it is larger than the sum of its proper divisors (444634047).

455355225 is a wasteful number, since it uses less digits than its factorization.

455355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3859 counting only the distinct ones).

The product of its digits is 150000, while the sum is 36.

The square root of 455355225 is about 21339.0539855918. The cubic root of 455355225 is about 769.3372748234.

The spelling of 455355225 in words is "four hundred fifty-five million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 325 369 533 585 615 975 1025 1599 1845 2665 2925 3075 3797 4797 7995 9225 11391 13325 18985 23985 34173 39975 49361 56955 94925 119925 148083 155677 170865 246805 284775 444249 467031 740415 778385 854325 1234025 1401093 2023801 2221245 2335155 3702075 3891925 6071403 7005465 10119005 11106225 11675775 18214209 30357015 35027325 50595025 91071045 151785075 455355225