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225305430 = 23572153269
BaseRepresentation
bin11010110110111…
…10001101010110
3120200221200221120
431123132031112
5430134233210
634205024410
75404031100
oct1533361526
9520850846
10225305430
111061a7339
1263555106
13378a752c
1421ccc570
1514ba7270
hexd6de356

225305430 has 48 divisors (see below), whose sum is σ = 629020080. Its totient is φ = 51498048.

The previous prime is 225305419. The next prime is 225305441. The reversal of 225305430 is 34503522.

It is an interprime number because it is at equal distance from previous prime (225305419) and next prime (225305441).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225305430.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 75165 + ... + 78104.

It is an arithmetic number, because the mean of its divisors is an integer number (13104585).

Almost surely, 2225305430 is an apocalyptic number.

225305430 is an abundant number, since it is smaller than the sum of its proper divisors (403714650).

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

225305430 is a wasteful number, since it uses less digits than its factorization.

225305430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153293 (or 153286 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 225305430 is about 15010.1775472511. The cubic root of 225305430 is about 608.4952880027.

Adding to 225305430 its reverse (34503522), we get a palindrome (259808952).

The spelling of 225305430 in words is "two hundred twenty-five million, three hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 153269 306538 459807 766345 919614 1072883 1532690 2145766 2299035 3218649 4598070 5364415 6437298 7510181 10728830 15020362 16093245 22530543 32186490 37550905 45061086 75101810 112652715 225305430