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205031430 = 232523372677
BaseRepresentation
bin11000011100010…
…00100000000110
3112021210200020200
430032020200012
5404442001210
632202311330
75036511162
oct1416104006
9467720220
10205031430
11a580a16a
12587b8546
1333629496
141d331ca2
15130000c0
hexc388806

205031430 has 96 divisors (see below), whose sum is σ = 571506624. Its totient is φ = 50865408.

The previous prime is 205031423. The next prime is 205031483. The reversal of 205031430 is 34130502.

205031430 is a `hidden beast` number, since 20 + 503 + 143 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 75252 + ... + 77928.

It is an arithmetic number, because the mean of its divisors is an integer number (5953194).

Almost surely, 2205031430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285753312).

205031430 is an abundant number, since it is smaller than the sum of its proper divisors (366475194).

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

205031430 is a wasteful number, since it uses less digits than its factorization.

205031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205031430 is about 14318.9186044198. The cubic root of 205031430 is about 589.6669862561. Note that the first 3 decimals are identical.

Adding to 205031430 its reverse (34130502), we get a palindrome (239161932).

The spelling of 205031430 in words is "two hundred five million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1665 1702 2070 2553 2677 3330 4255 5106 5354 7659 8031 8510 12765 13385 15318 16062 24093 25530 26770 38295 40155 48186 61571 76590 80310 99049 120465 123142 184713 198098 240930 297147 307855 369426 495245 554139 594294 615710 891441 923565 990490 1108278 1485735 1782882 1847130 2278127 2770695 2971470 4457205 4556254 5541390 6834381 8914410 11390635 13668762 20503143 22781270 34171905 41006286 68343810 102515715 205031430