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205213470 = 235751137
BaseRepresentation
bin11000011101101…
…00111100011110
3112022010220221220
430032310330132
5410013312340
632210234210
75041200000
oct1416647436
9468126856
10205213470
11a5923a10
1258885966
13336912b7
141d37c370
1513038ed0
hexc3b4f1e

205213470 has 192 divisors, whose sum is σ = 643769856. Its totient is φ = 41489280.

The previous prime is 205213453. The next prime is 205213493. The reversal of 205213470 is 74312502.

It is a super-2 number, since 2×2052134702 = 84225136538881800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205213470.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5546292 + ... + 5546328.

It is an arithmetic number, because the mean of its divisors is an integer number (3352968).

Almost surely, 2205213470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205213470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321884928).

205213470 is an abundant number, since it is smaller than the sum of its proper divisors (438556386).

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

205213470 is an equidigital number, since it uses as much as digits as its factorization.

205213470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205213470 is about 14325.2738193725. The cubic root of 205213470 is about 589.8414493049.

Adding to 205213470 its reverse (74312502), we get a palindrome (279525972).

The spelling of 205213470 in words is "two hundred five million, two hundred thirteen thousand, four hundred seventy".