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225093750 = 235674
BaseRepresentation
bin11010110101010…
…10100001110110
3120200112221120120
431122222201312
5430111000000
634200312410
75402160000
oct1532524166
9520487516
10225093750
111060722a2
1263472706
133783208b
1421c75370
1514b646a0
hexd6aa876

225093750 has 140 divisors (see below), whose sum is σ = 656475972. Its totient is φ = 51450000.

The previous prime is 225093749. The next prime is 225093761. The reversal of 225093750 is 57390522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 32156247 + ... + 32156253.

Almost surely, 2225093750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225093750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328237986).

225093750 is an abundant number, since it is smaller than the sum of its proper divisors (431382222).

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

225093750 is an frugal number, since it uses more digits than its factorization.

225093750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 225093750 is about 15003.1246745470. The cubic root of 225093750 is about 608.3046628551.

The spelling of 225093750 in words is "two hundred twenty-five million, ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 175 210 245 250 294 343 350 375 490 525 625 686 735 750 875 1029 1050 1225 1250 1470 1715 1750 1875 2058 2401 2450 2625 3125 3430 3675 3750 4375 4802 5145 5250 6125 6250 7203 7350 8575 8750 9375 10290 12005 12250 13125 14406 15625 17150 18375 18750 21875 24010 25725 26250 30625 31250 36015 36750 42875 43750 46875 51450 60025 61250 65625 72030 85750 91875 93750 109375 120050 128625 131250 153125 180075 183750 214375 218750 257250 300125 306250 328125 360150 428750 459375 600250 643125 656250 765625 900375 918750 1071875 1286250 1500625 1531250 1800750 2143750 2296875 3001250 3215625 4501875 4593750 5359375 6431250 7503125 9003750 10718750 15006250 16078125 22509375 32156250 37515625 45018750 75031250 112546875 225093750