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205388480 = 26511193783
BaseRepresentation
bin11000011110111…
…11101011000000
3112022110211000202
430033133223000
5410034412410
632214104332
75042526143
oct1417375300
9468424022
10205388480
11a5a33450
125894b0a8
1333722b5b
141d3c605a
1513070ca5
hexc3dfac0

205388480 has 224 divisors, whose sum is σ = 583752960. Its totient is φ = 68014080.

The previous prime is 205388473. The next prime is 205388501. The reversal of 205388480 is 84883502.

205388480 is digitally balanced in base 3, 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 (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2474519 + ... + 2474601.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2205388480 is an apocalyptic number.

205388480 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 205388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

205388480 is an abundant number, since it is smaller than the sum of its proper divisors (378364480).

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

205388480 is a wasteful number, since it uses less digits than its factorization.

205388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 205388480 is about 14331.3809523018. The cubic root of 205388480 is about 590.0090777115.

The spelling of 205388480 in words is "two hundred five million, three hundred eighty-eight thousand, four hundred eighty".