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225279048 = 233192711823
BaseRepresentation
bin11010110110101…
…11110001001000
3120200220100202110
431123113301020
5430132412143
634204302320
75403561141
oct1533276110
9520810673
10225279048
11106189535
12635419a0
1337898517
1421cc2ac8
1514b9e533
hexd6d7c48

225279048 has 64 divisors (see below), whose sum is σ = 595353600. Its totient is φ = 70839360.

The previous prime is 225279031. The next prime is 225279071. The reversal of 225279048 is 840972522.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225278997 and 225279015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122665 + ... + 124487.

It is an arithmetic number, because the mean of its divisors is an integer number (9302400).

Almost surely, 2225279048 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 225279048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297676800).

225279048 is an abundant number, since it is smaller than the sum of its proper divisors (370074552).

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

225279048 is a wasteful number, since it uses less digits than its factorization.

225279048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 225279048 is about 15009.2987177949. The cubic root of 225279048 is about 608.4715366158.

The spelling of 225279048 in words is "two hundred twenty-five million, two hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 271 456 542 813 1084 1626 1823 2168 3252 3646 5149 5469 6504 7292 10298 10938 14584 15447 20596 21876 30894 34637 41192 43752 61788 69274 103911 123576 138548 207822 277096 415644 494033 831288 988066 1482099 1976132 2964198 3952264 5928396 9386627 11856792 18773254 28159881 37546508 56319762 75093016 112639524 225279048