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204230010 = 235173779137
BaseRepresentation
bin11000010110001…
…00110101111010
3112020021221220110
430023010311322
5404240330020
632133205150
75026632525
oct1413046572
9466257813
10204230010
11a5312036
12584907b6
133340877a
141d1a3bbc
1512de28e0
hexc2c4d7a

204230010 has 128 divisors (see below), whose sum is σ = 543697920. Its totient is φ = 48881664.

The previous prime is 204229999. The next prime is 204230011. The reversal of 204230010 is 10032402.

204230010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204230011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490662 + ... + 1490798.

It is an arithmetic number, because the mean of its divisors is an integer number (4247640).

Almost surely, 2204230010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271848960).

204230010 is an abundant number, since it is smaller than the sum of its proper divisors (339467910).

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

204230010 is a wasteful number, since it uses less digits than its factorization.

204230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 204230010 is about 14290.9065492711. The cubic root of 204230010 is about 588.8976928526.

Adding to 204230010 its reverse (10032402), we get a palindrome (214262412).

The spelling of 204230010 in words is "two hundred four million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 79 85 102 111 137 158 170 185 222 237 255 274 370 395 411 474 510 555 629 685 790 822 1110 1185 1258 1343 1370 1887 2055 2329 2370 2686 2923 3145 3774 4029 4110 4658 5069 5846 6290 6715 6987 8058 8769 9435 10138 10823 11645 13430 13974 14615 15207 17538 18870 20145 21646 23290 25345 29230 30414 32469 34935 40290 43845 49691 50690 54115 64938 69870 76035 86173 87690 99382 108230 149073 152070 162345 172346 183991 248455 258519 298146 324690 367982 400451 430865 496910 517038 551973 745365 800902 861730 919955 1103946 1201353 1292595 1490730 1839910 2002255 2402706 2585190 2759865 4004510 5519730 6006765 6807667 12013530 13615334 20423001 34038335 40846002 68076670 102115005 204230010