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225993750 = 235517709
BaseRepresentation
bin11010111100001…
…10010000010110
3120202020200010220
431132012100112
5430323300000
634231455210
75412625623
oct1536062026
9522220126
10225993750
111066274a4
1263827506
1337a88918
142202b34a
1514c911a0
hexd786416

225993750 has 96 divisors (see below), whose sum is σ = 599024160. Its totient is φ = 56640000.

The previous prime is 225993727. The next prime is 225993769. The reversal of 225993750 is 57399522.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 318396 + ... + 319104.

It is an arithmetic number, because the mean of its divisors is an integer number (6239835).

Almost surely, 2225993750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299512080).

225993750 is an abundant number, since it is smaller than the sum of its proper divisors (373030410).

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

225993750 is an equidigital number, since it uses as much as digits as its factorization.

225993750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 225993750 is about 15033.0885050278. The cubic root of 225993750 is about 609.1143197966.

The spelling of 225993750 in words is "two hundred twenty-five million, nine hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 375 425 510 625 709 750 850 1250 1275 1418 1875 2125 2127 2550 3125 3545 3750 4250 4254 6250 6375 7090 9375 10625 10635 12053 12750 17725 18750 21250 21270 24106 31875 35450 36159 53125 53175 60265 63750 72318 88625 106250 106350 120530 159375 177250 180795 265875 301325 318750 361590 443125 531750 602650 886250 903975 1329375 1506625 1807950 2215625 2658750 3013250 4431250 4519875 6646875 7533125 9039750 13293750 15066250 22599375 37665625 45198750 75331250 112996875 225993750