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225475000 = 235529311
BaseRepresentation
bin11010111000001…
…11100110111000
3120201021022112221
431130013212320
5430210200000
634212413424
75405335342
oct1534074670
9521238487
10225475000
11106302783
1263617274
133793677a
1421d34292
1514bdc61a
hexd7079b8

225475000 has 96 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 86800000.

The previous prime is 225474989. The next prime is 225475007. The reversal of 225475000 is 574522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225475007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724845 + ... + 725155.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2225475000 is an apocalyptic number.

225475000 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 225475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

225475000 is an abundant number, since it is smaller than the sum of its proper divisors (322927400).

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

225475000 is an equidigital number, since it uses as much as digits as its factorization.

225475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 225475000 is about 15015.8249856610. The cubic root of 225475000 is about 608.6479055272.

The spelling of 225475000 in words is "two hundred twenty-five million, four hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 311 500 580 622 625 725 1000 1160 1244 1250 1450 1555 2488 2500 2900 3110 3125 3625 5000 5800 6220 6250 7250 7775 9019 12440 12500 14500 15550 18038 18125 25000 29000 31100 36076 36250 38875 45095 62200 72152 72500 77750 90190 90625 145000 155500 180380 181250 194375 225475 311000 360760 362500 388750 450950 725000 777500 901900 971875 1127375 1555000 1803800 1943750 2254750 3887500 4509500 5636875 7775000 9019000 11273750 22547500 28184375 45095000 56368750 112737500 225475000