Search a number
-
+
225327700 = 225213267199
BaseRepresentation
bin11010110111000…
…11101001010100
3120200222211111101
431123203221110
5430140441300
634205315444
75404153033
oct1533435124
9520884441
10225327700
11106212044
1263565b84
13378b4700
1421cd671a
1514badb6a
hexd6e3a54

225327700 has 108 divisors (see below), whose sum is σ = 540069600. Its totient is φ = 81544320.

The previous prime is 225327679. The next prime is 225327701. The reversal of 225327700 is 7723522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225327701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1132201 + ... + 1132399.

Almost surely, 2225327700 is an apocalyptic number.

225327700 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 225327700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270034800).

225327700 is an abundant number, since it is smaller than the sum of its proper divisors (314741900).

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

225327700 is a wasteful number, since it uses less digits than its factorization.

225327700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 225327700 is about 15010.9193589200. The cubic root of 225327700 is about 608.5153359640.

The spelling of 225327700 in words is "two hundred twenty-five million, three hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 169 199 260 268 325 335 338 398 650 670 676 796 845 871 995 1300 1340 1675 1690 1742 1990 2587 3350 3380 3484 3980 4225 4355 4975 5174 6700 8450 8710 9950 10348 11323 12935 13333 16900 17420 19900 21775 22646 25870 26666 33631 43550 45292 51740 53332 56615 64675 66665 67262 87100 113230 129350 133330 134524 168155 173329 226460 258700 266660 283075 333325 336310 346658 566150 666650 672620 693316 840775 866645 1132300 1333300 1681550 1733290 2253277 3363100 3466580 4333225 4506554 8666450 9013108 11266385 17332900 22532770 45065540 56331925 112663850 225327700