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228506300 = 225211434831
BaseRepresentation
bin11011001111010…
…11101010111100
3120220222022201022
431213223222330
5431444200200
634401403312
75443162061
oct1547535274
9526868638
10228506300
11107a93190
1264639538
1338458439
14224c2c68
15150da885
hexd9ebabc

228506300 has 72 divisors (see below), whose sum is σ = 553631232. Its totient is φ = 81144000.

The previous prime is 228506297. The next prime is 228506303. The reversal of 228506300 is 3605822.

It is an interprime number because it is at equal distance from previous prime (228506297) and next prime (228506303).

It is a self number, because there is not a number n which added to its sum of digits gives 228506300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228506303) 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, 44885 + ... + 49715.

Almost surely, 2228506300 is an apocalyptic number.

228506300 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 228506300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276815616).

228506300 is an abundant number, since it is smaller than the sum of its proper divisors (325124932).

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

228506300 is a wasteful number, since it uses less digits than its factorization.

228506300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 228506300 is about 15116.4248418732. The cubic root of 228506300 is about 611.3633396525.

The spelling of 228506300 in words is "two hundred twenty-eight million, five hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 4831 9460 9662 11825 19324 23650 24155 47300 48310 53141 96620 106282 120775 207733 212564 241550 265705 415466 483100 531410 830932 1038665 1062820 1328525 2077330 2285063 2657050 4154660 4570126 5193325 5314100 9140252 10386650 11425315 20773300 22850630 45701260 57126575 114253150 228506300