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228489480 = 233251913323
BaseRepresentation
bin11011001111001…
…11100100001000
3120220221110122100
431213213210020
5431443130410
634401153400
75443062042
oct1547474410
9526843570
10228489480
11107a8158a
126462b860
133845089b
14224baa92
15150d58c0
hexd9e7908

228489480 has 96 divisors (see below), whose sum is σ = 746703360. Its totient is φ = 60593280.

The previous prime is 228489473. The next prime is 228489491. The reversal of 228489480 is 84984822.

It is a happy number.

228489480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67099 + ... + 70421.

It is an arithmetic number, because the mean of its divisors is an integer number (7778160).

Almost surely, 2228489480 is an apocalyptic number.

228489480 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 228489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373351680).

228489480 is an abundant number, since it is smaller than the sum of its proper divisors (518213880).

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

228489480 is a wasteful number, since it uses less digits than its factorization.

228489480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 228489480 is about 15115.8684831537. The cubic root of 228489480 is about 611.3483387770.

The spelling of 228489480 in words is "two hundred twenty-eight million, four hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3323 3438 3820 4584 5730 6646 6876 7640 8595 9969 11460 13292 13752 16615 17190 19938 22920 26584 29907 33230 34380 39876 49845 59814 66460 68760 79752 99690 119628 132920 149535 199380 239256 299070 398760 598140 634693 1196280 1269386 1904079 2538772 3173465 3808158 5077544 5712237 6346930 7616316 9520395 11424474 12693860 15232632 19040790 22848948 25387720 28561185 38081580 45697896 57122370 76163160 114244740 228489480