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2055230010 = 234514917029
BaseRepresentation
bin111101010000000…
…0101001000111010
312022020021111120000
41322200011020322
513202114330020
6535534413430
7101634111141
oct17240051072
95266244500
102055230010
1196513a7a9
12494361276
13269a44142
14156d54758
15c0672090
hex7a80523a

2055230010 has 80 divisors (see below), whose sum is σ = 5563701000. Its totient is φ = 544351104.

The previous prime is 2055230003. The next prime is 2055230017. The reversal of 2055230010 is 100325502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2055230003) and next prime (2055230017).

It can be written as a sum of positive squares in 4 ways, for example, as 1546141041 + 509088969 = 39321^2 + 22563^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2055230017) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 112176 + ... + 129204.

Almost surely, 22055230010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781850500).

2055230010 is an abundant number, since it is smaller than the sum of its proper divisors (3508470990).

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

2055230010 is a wasteful number, since it uses less digits than its factorization.

2055230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2055230010 is about 45334.6446991702. The cubic root of 2055230010 is about 1271.4134778148.

Adding to 2055230010 its reverse (100325502), we get a palindrome (2155555512).

The spelling of 2055230010 in words is "two billion, fifty-five million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4470 6705 8046 12069 13410 17029 20115 24138 34058 40230 51087 60345 85145 102174 120690 153261 170290 255435 306522 459783 510870 766305 919566 1379349 1532610 2298915 2537321 2758698 4597830 5074642 6896745 7611963 12686605 13793490 15223926 22835889 25373210 38059815 45671778 68507667 76119630 114179445 137015334 205523001 228358890 342538335 411046002 685076670 1027615005 2055230010