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225604120 = 2357805729
BaseRepresentation
bin11010111001001…
…11001000011000
3120201111212200011
431130213020120
5430223312440
634215251304
75406413650
oct1534471030
9521455604
10225604120
11106390795
1263679b34
1337980481
1421d69360
1514c159ea
hexd727218

225604120 has 32 divisors (see below), whose sum is σ = 580125600. Its totient is φ = 77349888.

The previous prime is 225604103. The next prime is 225604129. The reversal of 225604120 is 21406522.

It is a junction number, because it is equal to n+sod(n) for n = 225604091 and 225604100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225604129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 402585 + ... + 403144.

It is an arithmetic number, because the mean of its divisors is an integer number (18128925).

Almost surely, 2225604120 is an apocalyptic number.

225604120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225604120 is an abundant number, since it is smaller than the sum of its proper divisors (354521480).

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

225604120 is a wasteful number, since it uses less digits than its factorization.

225604120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805747 (or 805743 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225604120 is about 15020.1238343763. The cubic root of 225604120 is about 608.7640656645.

The spelling of 225604120 in words is "two hundred twenty-five million, six hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 805729 1611458 3222916 4028645 5640103 6445832 8057290 11280206 16114580 22560412 28200515 32229160 45120824 56401030 112802060 225604120