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228006300 = 223521077103
BaseRepresentation
bin11011001011100…
…01100110011100
3120220000220211210
431211301212130
5431332200200
634342544420
75436010254
oct1545614634
9526026753
10228006300
11107781565
1264438110
1338311992
14223d2964
151503c650
hexd97199c

228006300 has 72 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 60224960.

The previous prime is 228006299. The next prime is 228006301. The reversal of 228006300 is 3600822.

It is an interprime number because it is at equal distance from previous prime (228006299) and next prime (228006301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228006301) 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, 28549 + ... + 35651.

It is an arithmetic number, because the mean of its divisors is an integer number (9249408).

Almost surely, 2228006300 is an apocalyptic number.

228006300 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 228006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

228006300 is an abundant number, since it is smaller than the sum of its proper divisors (437951076).

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

228006300 is a wasteful number, since it uses less digits than its factorization.

228006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 228006300 is about 15099.8774829467. The cubic root of 228006300 is about 610.9171011933.

The spelling of 228006300 in words is "two hundred twenty-eight million, six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 7103 8025 10700 14206 16050 21309 28412 32100 35515 42618 71030 85236 106545 142060 177575 213090 355150 426180 532725 710300 760021 1065450 1520042 2130900 2280063 3040084 3800105 4560126 7600210 9120252 11400315 15200420 19000525 22800630 38001050 45601260 57001575 76002100 114003150 228006300