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229758128 = 2417899491
BaseRepresentation
bin11011011000111…
…01010010110000
3121000022220220022
431230131102300
5432304230003
634444303012
75456624525
oct1554352260
9530286808
10229758128
11108768756
1264b41a68
13387a6172
142272b14c
1515286738
hexdb1d4b0

229758128 has 40 divisors (see below), whose sum is σ = 476688240. Its totient is φ = 106895360.

The previous prime is 229758119. The next prime is 229758167. The reversal of 229758128 is 821857922.

229758128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 19463 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (11917206).

Almost surely, 2229758128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229758128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238344120).

229758128 is an abundant number, since it is smaller than the sum of its proper divisors (246930112).

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

229758128 is a wasteful number, since it uses less digits than its factorization.

229758128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9605 (or 9599 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 229758128 is about 15157.7745068331. The cubic root of 229758128 is about 612.4777194727.

The spelling of 229758128 in words is "two hundred twenty-nine million, seven hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 9491 12104 18982 24208 37964 75928 151856 161347 322694 645388 844699 1290776 1689398 2581552 3378796 6757592 13515184 14359883 28719766 57439532 114879064 229758128