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205357530 = 235742851
BaseRepresentation
bin11000011110110…
…00000111011010
3112022102020120110
430033120013122
5410032420110
632213305150
75042340000
oct1417300732
9468366513
10205357530
11a5a12174
12589351b6
1333711a41
141d3b8a70
1513066a20
hexc3d81da

205357530 has 80 divisors (see below), whose sum is σ = 575168544. Its totient is φ = 46922400.

The previous prime is 205357517. The next prime is 205357531. The reversal of 205357530 is 35753502.

205357530 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is not an unprimeable number, because it can be changed into a prime (205357531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70605 + ... + 73455.

Almost surely, 2205357530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205357530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287584272).

205357530 is an abundant number, since it is smaller than the sum of its proper divisors (369811014).

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

205357530 is an equidigital number, since it uses as much as digits as its factorization.

205357530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 205357530 is about 14330.3011133751. The cubic root of 205357530 is about 589.9794400573.

The spelling of 205357530 in words is "two hundred five million, three hundred fifty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 2401 2851 3430 4802 5145 5702 7203 8553 10290 12005 14255 14406 17106 19957 24010 28510 36015 39914 42765 59871 72030 85530 99785 119742 139699 199570 279398 299355 419097 598710 698495 838194 977893 1396990 1955786 2095485 2933679 4190970 4889465 5867358 6845251 9778930 13690502 14668395 20535753 29336790 34226255 41071506 68452510 102678765 205357530