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205236420 = 22354379549
BaseRepresentation
bin11000011101110…
…10100011000100
3112022012002102220
430032322203010
5410020031140
632210532340
75041323624
oct1416724304
9468162386
10205236420
11a593a184
12588970b0
133369b88c
141d386884
1513040bd0
hexc3ba8c4

205236420 has 48 divisors (see below), whose sum is σ = 588033600. Its totient is φ = 53456256.

The previous prime is 205236407. The next prime is 205236433. The reversal of 205236420 is 24632502.

It is an interprime number because it is at equal distance from previous prime (205236407) and next prime (205236433).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37195 + ... + 42354.

It is an arithmetic number, because the mean of its divisors is an integer number (12250700).

Almost surely, 2205236420 is an apocalyptic number.

205236420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205236420 is an abundant number, since it is smaller than the sum of its proper divisors (382797180).

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

205236420 is a wasteful number, since it uses less digits than its factorization.

205236420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79604 (or 79602 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 205236420 is about 14326.0748287868. The cubic root of 205236420 is about 589.8634367451.

Adding to 205236420 its reverse (24632502), we get a palindrome (229868922).

The spelling of 205236420 in words is "two hundred five million, two hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 79549 159098 238647 318196 397745 477294 795490 954588 1193235 1590980 2386470 3420607 4772940 6841214 10261821 13682428 17103035 20523642 34206070 41047284 51309105 68412140 102618210 205236420