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225303120 = 2434574967
BaseRepresentation
bin11010110110111…
…01101001010000
3120200221120210000
431123131221100
5430134144440
634205010000
75404021260
oct1533355120
9520846700
10225303120
111061a5629
1263553900
13378a6473
1421ccb7a0
1514ba6730
hexd6dda50

225303120 has 200 divisors, whose sum is σ = 894478464. Its totient is φ = 51487488.

The previous prime is 225303119. The next prime is 225303131. The reversal of 225303120 is 21303522.

It is a super-2 number, since 2×2253031202 = 101522991763468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225303093 and 225303102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42877 + ... + 47843.

Almost surely, 2225303120 is an apocalyptic number.

225303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447239232).

225303120 is an abundant number, since it is smaller than the sum of its proper divisors (669175344).

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

225303120 is a wasteful number, since it uses less digits than its factorization.

225303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225303120 is about 15010.1005992632. The cubic root of 225303120 is about 608.4932084125.

Adding to 225303120 its reverse (21303522), we get a palindrome (246606642).

The spelling of 225303120 in words is "two hundred twenty-five million, three hundred three thousand, one hundred twenty".