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205400430 = 23258925643
BaseRepresentation
bin11000011111000…
…10100101101110
3112022111102102100
430033202211232
5410040303210
632214235530
75042606034
oct1417424556
9468442370
10205400430
11a5a41424
1258955ba6
1333728421
141d3ca554
15130745c0
hexc3e296e

205400430 has 48 divisors (see below), whose sum is σ = 540062640. Its totient is φ = 54155904.

The previous prime is 205400423. The next prime is 205400471. The reversal of 205400430 is 34004502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4812 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (11251305).

Almost surely, 2205400430 is an apocalyptic number.

205400430 is an abundant number, since it is smaller than the sum of its proper divisors (334662210).

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

205400430 is a wasteful number, since it uses less digits than its factorization.

205400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25745 (or 25742 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205400430 is about 14331.7978634922. The cubic root of 205400430 is about 590.0205202094.

Adding to 205400430 its reverse (34004502), we get a palindrome (239404932).

The spelling of 205400430 in words is "two hundred five million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 25643 51286 76929 128215 153858 230787 256430 384645 461574 769290 1153935 2282227 2307870 4564454 6846681 11411135 13693362 20540043 22822270 34233405 41080086 68466810 102700215 205400430