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225520048 = 241310710133
BaseRepresentation
bin11010111000100…
…10100110110000
3120201100121100101
431130102212300
5430213120143
634213402144
75405613565
oct1534224660
9521317311
10225520048
11106333606
1263639354
1337951120
1421d4686c
1514beab4d
hexd7129b0

225520048 has 40 divisors (see below), whose sum is σ = 475000848. Its totient is φ = 103103232.

The previous prime is 225520039. The next prime is 225520073. The reversal of 225520048 is 840025522.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225519998 and 225520025.

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 7 ways as a sum of consecutive naturals, for example, 17190 + ... + 27322.

Almost surely, 2225520048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225520048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237500424).

225520048 is an abundant number, since it is smaller than the sum of its proper divisors (249480800).

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

225520048 is a wasteful number, since it uses less digits than its factorization.

225520048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 225520048 is about 15017.3249282287. The cubic root of 225520048 is about 608.6884370644.

The spelling of 225520048 in words is "two hundred twenty-five million, five hundred twenty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1712 2782 5564 10133 11128 20266 22256 40532 81064 131729 162128 263458 526916 1053832 1084231 2107664 2168462 4336924 8673848 14095003 17347696 28190006 56380012 112760024 225520048