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205152430 = 25717210141
BaseRepresentation
bin11000011101001…
…10000010101110
3112022000211020011
430032212002232
5410004334210
632205043434
75040524020
oct1416460256
9468024204
10205152430
11a589206a
125885657a
133366c592
141d364010
1513025d8a
hexc3a60ae

205152430 has 48 divisors (see below), whose sum is σ = 448357536. Its totient is φ = 66193920.

The previous prime is 205152427. The next prime is 205152449. The reversal of 205152430 is 34251502.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15160 + ... + 25300.

It is an arithmetic number, because the mean of its divisors is an integer number (9340782).

Almost surely, 2205152430 is an apocalyptic number.

205152430 is an abundant number, since it is smaller than the sum of its proper divisors (243205106).

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

205152430 is a wasteful number, since it uses less digits than its factorization.

205152430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205152430 is about 14323.1431606334. The cubic root of 205152430 is about 589.7829614412.

The spelling of 205152430 in words is "two hundred five million, one hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 578 595 1190 1445 2023 2890 4046 10115 10141 20230 20282 50705 70987 101410 141974 172397 344794 354935 709870 861985 1206779 1723970 2413558 2930749 5861498 6033895 12067790 14653745 20515243 29307490 41030486 102576215 205152430