Search a number
-
+
238111664 = 24717312289
BaseRepresentation
bin11100011000101…
…00101110110000
3121121001022210112
432030110232300
5441424033124
635343320452
75620626050
oct1614245660
9547038715
10238111664
111124538aa
12678b0128
133a43c49b
14238a3560
1515d8690e
hexe314bb0

238111664 has 40 divisors (see below), whose sum is σ = 530338080. Its totient is φ = 101449728.

The previous prime is 238111661. The next prime is 238111691. The reversal of 238111664 is 466111832.

It is a self number, because there is not a number n which added to its sum of digits gives 238111664.

It is not an unprimeable number, because it can be changed into a prime (238111661) 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 7 ways as a sum of consecutive naturals, for example, 13232 + ... + 25520.

It is an arithmetic number, because the mean of its divisors is an integer number (13258452).

Almost surely, 2238111664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265169040).

238111664 is an abundant number, since it is smaller than the sum of its proper divisors (292226416).

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

238111664 is a wasteful number, since it uses less digits than its factorization.

238111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12471 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 238111664 is about 15430.8672471770. The cubic root of 238111664 is about 619.8123469556.

The spelling of 238111664 in words is "two hundred thirty-eight million, one hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 12289 19376 24578 49156 86023 98312 172046 196624 344092 688184 1376368 2125997 4251994 8503988 14881979 17007976 29763958 34015952 59527916 119055832 238111664