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228748275 = 32527311467
BaseRepresentation
bin11011010001001…
…10101111110011
3120221102121122100
431220212233303
5432024421100
634410511443
75445220410
oct1550465763
9527377570
10228748275
11108138a68
1264735583
1338511612
1422547107
1515137400
hexda26bf3

228748275 has 72 divisors (see below), whose sum is σ = 470755584. Its totient is φ = 104011200.

The previous prime is 228748253. The next prime is 228748279. The reversal of 228748275 is 572847822.

228748275 is a `hidden beast` number, since 22 + 87 + 482 + 75 = 666.

It is not a de Polignac number, because 228748275 - 219 = 228223987 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 228748275.

It is not an unprimeable number, because it can be changed into a prime (228748279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 489592 + ... + 490058.

It is an arithmetic number, because the mean of its divisors is an integer number (6538272).

Almost surely, 2228748275 is an apocalyptic number.

228748275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228748275 is an abundant number, since it is smaller than the sum of its proper divisors (242007309).

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

228748275 is a wasteful number, since it uses less digits than its factorization.

228748275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 228748275 is about 15124.4264354057. The cubic root of 228748275 is about 611.5790630363.

The spelling of 228748275 in words is "two hundred twenty-eight million, seven hundred forty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 311 315 467 525 933 1401 1555 1575 2177 2335 2799 3269 4203 4665 6531 7005 7775 9807 10885 11675 13995 16345 19593 21015 23325 29421 32655 35025 49035 54425 69975 81725 97965 105075 145237 147105 163275 245175 435711 489825 726185 735525 1016659 1307133 2178555 3049977 3630925 5083295 6535665 9149931 10892775 15249885 25416475 32678325 45749655 76249425 228748275