Search a number
-
+
238105901 = 1141472239
BaseRepresentation
bin11100011000100…
…11010100101101
3121121001000220002
432030103110231
5441423342101
635343234045
75620603205
oct1614232455
9547030802
10238105901
1111244a540
12678a8925
133a439987
14238a1405
1515d84d6b
hexe31352d

238105901 has 24 divisors (see below), whose sum is σ = 273006720. Its totient is φ = 205822400.

The previous prime is 238105897. The next prime is 238105909. The reversal of 238105901 is 109501832.

238105901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238105901 - 22 = 238105897 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238105909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996140 + ... + 996378.

It is an arithmetic number, because the mean of its divisors is an integer number (11375280).

Almost surely, 2238105901 is an apocalyptic number.

It is an amenable number.

238105901 is a deficient number, since it is larger than the sum of its proper divisors (34900819).

238105901 is a wasteful number, since it uses less digits than its factorization.

238105901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 238105901 is about 15430.6805099451. The cubic root of 238105901 is about 619.8073464902.

The spelling of 238105901 in words is "two hundred thirty-eight million, one hundred five thousand, nine hundred one".

Divisors: 1 11 41 47 239 451 517 1927 2209 2629 9799 11233 21197 24299 90569 107789 123563 460553 527951 996259 5066083 5807461 21645991 238105901