Search a number
-
+
238029201 = 3253569877
BaseRepresentation
bin11100011000000…
…00100110010001
3121120220010200100
432030000212101
5441413413301
635341443013
75620133454
oct1614004621
9546803610
10238029201
111123a7953
1267870469
133a410aa7
142388149b
1515d6c286
hexe300991

238029201 has 24 divisors (see below), whose sum is σ = 351322920. Its totient is φ = 155241216.

The previous prime is 238029167. The next prime is 238029203. The reversal of 238029201 is 102920832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57153600 + 180875601 = 7560^2 + 13449^2 .

It is not a de Polignac number, because 238029201 - 221 = 235932049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238029203) 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, 270975 + ... + 271851.

It is an arithmetic number, because the mean of its divisors is an integer number (14638455).

Almost surely, 2238029201 is an apocalyptic number.

It is an amenable number.

238029201 is a deficient number, since it is larger than the sum of its proper divisors (113293719).

238029201 is a wasteful number, since it uses less digits than its factorization.

238029201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 238029201 is about 15428.1950013603. The cubic root of 238029201 is about 619.7407874106.

The spelling of 238029201 in words is "two hundred thirty-eight million, twenty-nine thousand, two hundred one".

Divisors: 1 3 9 53 159 477 569 877 1707 2631 5121 7893 30157 46481 90471 139443 271413 418329 499013 1497039 4491117 26447689 79343067 238029201