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229595080 = 235112134189
BaseRepresentation
bin11011010111101…
…01011111001000
3121000000122020111
431223311133020
5432234020310
634441004104
75455345261
oct1553653710
9530018214
10229595080
11108667200
1264a83634
1338749ba0
14226c7968
151525328a
hexdaf57c8

229595080 has 192 divisors, whose sum is σ = 633452400. Its totient is φ = 74342400.

The previous prime is 229595077. The next prime is 229595087. The reversal of 229595080 is 80595922.

It can be written as a sum of positive squares in 8 ways, for example, as 1162084 + 228432996 = 1078^2 + 15114^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (229595087) 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 47 ways as a sum of consecutive naturals, for example, 2579676 + ... + 2579764.

Almost surely, 2229595080 is an apocalyptic number.

229595080 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 229595080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316726200).

229595080 is an abundant number, since it is smaller than the sum of its proper divisors (403857320).

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

229595080 is a wasteful number, since it uses less digits than its factorization.

229595080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 229595080 is about 15152.3951902001. The cubic root of 229595080 is about 612.3328034545.

The spelling of 229595080 in words is "two hundred twenty-nine million, five hundred ninety-five thousand, eighty".