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225339048 = 233211299811
BaseRepresentation
bin11010110111001…
…10011010101000
3120201000102001200
431123212122220
5430141322143
634205444200
75404231104
oct1533463250
9521012050
10225339048
1110621a620
1263570660
13378b991c
1421cda904
1514bb21d3
hexd6e66a8

225339048 has 96 divisors (see below), whose sum is σ = 688802400. Its totient is φ = 65923200.

The previous prime is 225339017. The next prime is 225339071. The reversal of 225339048 is 840933522.

225339048 is a `hidden beast` number, since 225 + 3 + 390 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18063 + ... + 27873.

It is an arithmetic number, because the mean of its divisors is an integer number (7175025).

Almost surely, 2225339048 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 225339048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344401200).

225339048 is an abundant number, since it is smaller than the sum of its proper divisors (463463352).

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

225339048 is a wasteful number, since it uses less digits than its factorization.

225339048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225339048 is about 15011.2973456660. The cubic root of 225339048 is about 608.5255511840.

The spelling of 225339048 in words is "two hundred twenty-five million, three hundred thirty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 9811 11484 19622 22968 29433 39244 58866 78488 88299 107921 117732 176598 215842 235464 284519 323763 353196 431684 569038 647526 706392 853557 863368 971289 1138076 1295052 1707114 1942578 2276152 2560671 2590104 3129709 3414228 3885156 5121342 6259418 6828456 7770312 9389127 10242684 12518836 18778254 20485368 25037672 28167381 37556508 56334762 75113016 112669524 225339048