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228551200 = 25521092621
BaseRepresentation
bin11011001111101…
…10101000100000
3120221001121022021
431213312220200
5432002114300
634402351224
75443440013
oct1547665040
9527047267
10228551200
11108013999
126465b514
13384729c7
14224d537a
15150e8d1a
hexd9f6a20

228551200 has 72 divisors (see below), whose sum is σ = 563284260. Its totient is φ = 90547200.

The previous prime is 228551143. The next prime is 228551221. The reversal of 228551200 is 2155822.

228551200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 144865296 + 83685904 = 12036^2 + 9148^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85890 + ... + 88510.

Almost surely, 2228551200 is an apocalyptic number.

228551200 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 228551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281642130).

228551200 is an abundant number, since it is smaller than the sum of its proper divisors (334733060).

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

228551200 is a wasteful number, since it uses less digits than its factorization.

228551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 228551200 is about 15117.9099084496. The cubic root of 228551200 is about 611.4033800018.

The spelling of 228551200 in words is "two hundred twenty-eight million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 160 200 218 400 436 545 800 872 1090 1744 2180 2621 2725 3488 4360 5242 5450 8720 10484 10900 13105 17440 20968 21800 26210 41936 43600 52420 65525 83872 87200 104840 131050 209680 262100 285689 419360 524200 571378 1048400 1142756 1428445 2096800 2285512 2856890 4571024 5713780 7142225 9142048 11427560 14284450 22855120 28568900 45710240 57137800 114275600 228551200