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229441248 = 25341741127
BaseRepresentation
bin11011010110011…
…11111011100000
3120222201211020000
431223033323200
5432214104443
634433420000
75454134631
oct1553177340
9528654200
10229441248
11108571673
1264a0a600
13386c4b6a
1422687888
15152228d3
hexdacfee0

229441248 has 240 divisors, whose sum is σ = 737662464. Its totient is φ = 69672960.

The previous prime is 229441241. The next prime is 229441259. The reversal of 229441248 is 842144922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229441241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1806561 + ... + 1806687.

Almost surely, 2229441248 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 229441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

229441248 is an abundant number, since it is smaller than the sum of its proper divisors (508221216).

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

229441248 is a wasteful number, since it uses less digits than its factorization.

229441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 229441248 is about 15147.3181784763. The cubic root of 229441248 is about 612.1960156434.

The spelling of 229441248 in words is "two hundred twenty-nine million, four hundred forty-one thousand, two hundred forty-eight".