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229271040 = 2933531107
BaseRepresentation
bin11011010101001…
…10011000000000
3120222102011202000
431222212120000
5432143133130
634430024000
75452525455
oct1552463000
9528364660
10229271040
111084657a9
1264948000
133866554b
142264182c
15151dc260
hexdaa6600

229271040 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 58613760.

The previous prime is 229271017. The next prime is 229271051. The reversal of 229271040 is 40172922.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 229270995 and 229271013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142667 + ... + 2142773.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2229271040 is an apocalyptic number.

229271040 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 229271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

229271040 is an abundant number, since it is smaller than the sum of its proper divisors (619246080).

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

229271040 is a wasteful number, since it uses less digits than its factorization.

229271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 229271040 is about 15141.6987157980. The cubic root of 229271040 is about 612.0445949818.

The spelling of 229271040 in words is "two hundred twenty-nine million, two hundred seventy-one thousand, forty".