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228002300 = 225217711889
BaseRepresentation
bin11011001011100…
…00100111111100
3120220000201100122
431211300213330
5431332033200
634342514112
75435662511
oct1545604774
9526021318
10228002300
11107779559
1264435938
133830cc06
14223d1308
151503b385
hexd9709fc

228002300 has 72 divisors (see below), whose sum is σ = 531528480. Its totient is φ = 84582400.

The previous prime is 228002227. The next prime is 228002309. The reversal of 228002300 is 3200822.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228002309) 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, 119756 + ... + 121644.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2228002300 is an apocalyptic number.

228002300 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 228002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265764240).

228002300 is an abundant number, since it is smaller than the sum of its proper divisors (303526180).

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

228002300 is a wasteful number, since it uses less digits than its factorization.

228002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 228002300 is about 15099.7450309600. The cubic root of 228002300 is about 610.9135286565.

The spelling of 228002300 in words is "two hundred twenty-eight million, two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 284 340 355 425 710 850 1207 1420 1700 1775 1889 2414 3550 3778 4828 6035 7100 7556 9445 12070 18890 24140 30175 32113 37780 47225 60350 64226 94450 120700 128452 134119 160565 188900 268238 321130 536476 642260 670595 802825 1341190 1605650 2280023 2682380 3211300 3352975 4560046 6705950 9120092 11400115 13411900 22800230 45600460 57000575 114001150 228002300