Search a number
-
+
238820010 = 2351113179311
BaseRepresentation
bin11100011110000…
…01101010101010
3121122101022110120
432033001222222
5442114220020
635410424110
75626636152
oct1617015252
9548338416
10238820010
11112898010
1267b92036
133a629a20
1423a09762
1515e76740
hexe3c1aaa

238820010 has 128 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 52972800.

The previous prime is 238820009. The next prime is 238820047. The reversal of 238820010 is 10028832.

238820010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767755 + ... + 768065.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2238820010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238820010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

238820010 is an abundant number, since it is smaller than the sum of its proper divisors (440491350).

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

238820010 is a wasteful number, since it uses less digits than its factorization.

238820010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 238820010 is about 15453.8024447060. The cubic root of 238820010 is about 620.4263543318.

Adding to 238820010 its reverse (10028832), we get a palindrome (248848842).

The spelling of 238820010 in words is "two hundred thirty-eight million, eight hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 179 195 286 311 330 358 390 429 537 622 715 858 895 933 1074 1430 1555 1790 1866 1969 2145 2327 2685 3110 3421 3938 4043 4290 4654 4665 5370 5907 6842 6981 8086 9330 9845 10263 11635 11814 12129 13962 17105 19690 20215 20526 23270 24258 25597 29535 34210 34905 40430 44473 51194 51315 55669 59070 60645 69810 76791 88946 102630 111338 121290 127985 133419 153582 167007 222365 255970 266838 278345 334014 383955 444730 556690 612359 667095 723697 767910 835035 1224718 1334190 1447394 1670070 1837077 2171091 3061795 3618485 3674154 4342182 6123590 7236970 7960667 9185385 10855455 15921334 18370770 21710910 23882001 39803335 47764002 79606670 119410005 238820010