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228490000 = 245473313
BaseRepresentation
bin11011001111001…
…11101100010000
3120220221111100121
431213213230100
5431443140000
634401200024
75443063414
oct1547475420
9526844317
10228490000
11107a81a12
1264630014
1338450bab
14224bad44
15150d5b1a
hexd9e7b10

228490000 has 100 divisors (see below), whose sum is σ = 562566796. Its totient is φ = 89856000.

The previous prime is 228489997. The next prime is 228490019. The reversal of 228490000 is 94822.

It can be written as a sum of positive squares in 10 ways, for example, as 220938496 + 7551504 = 14864^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 729844 + ... + 730156.

Almost surely, 2228490000 is an apocalyptic number.

228490000 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 228490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281283398).

228490000 is an abundant number, since it is smaller than the sum of its proper divisors (334076796).

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

228490000 is an equidigital number, since it uses as much as digits as its factorization.

228490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 228490000 is about 15115.8856836111. The cubic root of 228490000 is about 611.3488025487.

The spelling of 228490000 in words is "two hundred twenty-eight million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 313 365 400 500 584 625 626 730 1000 1168 1250 1252 1460 1565 1825 2000 2500 2504 2920 3130 3650 5000 5008 5840 6260 7300 7825 9125 10000 12520 14600 15650 18250 22849 25040 29200 31300 36500 39125 45625 45698 62600 73000 78250 91250 91396 114245 125200 146000 156500 182500 182792 195625 228490 313000 365000 365584 391250 456980 571225 626000 730000 782500 913960 1142450 1565000 1827920 2284900 2856125 3130000 4569800 5712250 9139600 11424500 14280625 22849000 28561250 45698000 57122500 114245000 228490000