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430200225 = 325271321011
BaseRepresentation
bin11001101001000…
…101010110100001
31002222111102202200
4121221011112201
51340112401400
6110404403413
713442433030
oct3151052641
91088442680
10430200225
11200922884
121000a6569
136b186760
14411c6717
1527b7bb00
hex19a455a1

430200225 has 72 divisors (see below), whose sum is σ = 948397632. Its totient is φ = 181526400.

The previous prime is 430200217. The next prime is 430200271. The reversal of 430200225 is 522002034.

It is not a de Polignac number, because 430200225 - 23 = 430200217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 430200198 and 430200207.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9970 + ... + 30980.

Almost surely, 2430200225 is an apocalyptic number.

430200225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

430200225 is an abundant number, since it is smaller than the sum of its proper divisors (518197407).

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

430200225 is a wasteful number, since it uses less digits than its factorization.

430200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21047 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 430200225 is about 20741.2686449021. The cubic root of 430200225 is about 754.9013657093.

Adding to 430200225 its reverse (522002034), we get a palindrome (952202259).

The spelling of 430200225 in words is "four hundred thirty million, two hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1365 1575 2275 2925 4095 6825 20475 21011 63033 105055 147077 189099 273143 315165 441231 525275 735385 819429 945495 1323693 1365715 1575825 1912001 2206155 2458287 3676925 4097145 4727475 5736003 6618465 6828575 9560005 11030775 12291435 17208009 20485725 28680015 33092325 47800025 61457175 86040045 143400075 430200225