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228328000 = 265328541
BaseRepresentation
bin11011001110000…
…00001001000000
3120220122021010121
431213000021000
5431422444000
634353510024
75441520205
oct1547001100
9526567117
10228328000
1110798122a
1264572314
13383c5234
1422477cac
15150a2b1a
hexd9c0240

228328000 has 56 divisors (see below), whose sum is σ = 565474104. Its totient is φ = 91328000.

The previous prime is 228327961. The next prime is 228328019. The reversal of 228328000 is 823822.

It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 201867264 = 5144^2 + 14208^2 .

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 7 ways as a sum of consecutive naturals, for example, 6271 + ... + 22270.

Almost surely, 2228328000 is an apocalyptic number.

228328000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228328000 is an abundant number, since it is smaller than the sum of its proper divisors (337146104).

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

228328000 is an equidigital number, since it uses as much as digits as its factorization.

228328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28568 (or 28548 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 228328000 is about 15110.5261324681. The cubic root of 228328000 is about 611.2042857626.

The spelling of 228328000 in words is "two hundred twenty-eight million, three hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 28541 57082 114164 142705 228328 285410 456656 570820 713525 913312 1141640 1427050 1826624 2283280 2854100 3567625 4566560 5708200 7135250 9133120 11416400 14270500 22832800 28541000 45665600 57082000 114164000 228328000