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238135905 = 32572332869
BaseRepresentation
bin11100011000110…
…10101001100001
3121121002120001100
432030122221201
5441430322110
635344025013
75621056530
oct1614325141
9547076040
10238135905
11112470037
1267902169
133a44a527
14238ac317
1515d8dbc0
hexe31aa61

238135905 has 48 divisors (see below), whose sum is σ = 492261120. Its totient is φ = 104125824.

The previous prime is 238135901. The next prime is 238135957. The reversal of 238135905 is 509531832.

It is not a de Polignac number, because 238135905 - 22 = 238135901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238135905.

It is not an unprimeable number, because it can be changed into a prime (238135901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9190 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (10255440).

Almost surely, 2238135905 is an apocalyptic number.

It is an amenable number.

238135905 is an abundant number, since it is smaller than the sum of its proper divisors (254125215).

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

238135905 is a wasteful number, since it uses less digits than its factorization.

238135905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32910 (or 32907 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 238135905 is about 15431.6526982692. The cubic root of 238135905 is about 619.8333796103.

The spelling of 238135905 in words is "two hundred thirty-eight million, one hundred thirty-five thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 32869 98607 164345 230083 295821 493035 690249 755987 1150415 1479105 2070747 2267961 3451245 3779935 5291909 6803883 10353735 11339805 15875727 26459545 34019415 47627181 79378635 238135905