Search a number
-
+
238131300 = 223521172161
BaseRepresentation
bin11100011000110…
…01100001100100
3121121002022201210
432030121201210
5441430200200
635343551420
75621040231
oct1614314144
9547068653
10238131300
11112467630
12678bb570
133a4483c4
14238aa788
1515d8c650
hexe319864

238131300 has 72 divisors (see below), whose sum is σ = 751639392. Its totient is φ = 57728000.

The previous prime is 238131293. The next prime is 238131323. The reversal of 238131300 is 3131832.

It is a happy 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, 32781 + ... + 39380.

It is an arithmetic number, because the mean of its divisors is an integer number (10439436).

Almost surely, 2238131300 is an apocalyptic number.

238131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238131300 is an abundant number, since it is smaller than the sum of its proper divisors (513508092).

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

238131300 is a wasteful number, since it uses less digits than its factorization.

238131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72189 (or 72182 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 238131300 is about 15431.5034912351. The cubic root of 238131300 is about 619.8293842012.

The spelling of 238131300 in words is "two hundred thirty-eight million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 72161 144322 216483 288644 360805 432966 721610 793771 865932 1082415 1443220 1587542 1804025 2164830 2381313 3175084 3608050 3968855 4329660 4762626 5412075 7216100 7937710 9525252 10824150 11906565 15875420 19844275 21648300 23813130 39688550 47626260 59532825 79377100 119065650 238131300