Search a number
-
+
238265064 = 23341743503
BaseRepresentation
bin11100011001110…
…10001011101000
3121121100010020000
432030322023220
5441443440224
635350503000
75622135222
oct1614721350
9547303200
10238265064
11112549084
1267964a60
133a49425b
1423903412
1515db70c9
hexe33a2e8

238265064 has 160 divisors (see below), whose sum is σ = 724489920. Its totient is φ = 72866304.

The previous prime is 238265023. The next prime is 238265099. The reversal of 238265064 is 460562832.

238265064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473437 + ... + 473939.

It is an arithmetic number, because the mean of its divisors is an integer number (4528062).

Almost surely, 2238265064 is an apocalyptic number.

238265064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238265064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362244960).

238265064 is an abundant number, since it is smaller than the sum of its proper divisors (486224856).

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

238265064 is a wasteful number, since it uses less digits than its factorization.

238265064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 238265064 is about 15435.8370035447. The cubic root of 238265064 is about 619.9454201000.

The spelling of 238265064 in words is "two hundred thirty-eight million, two hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 81 86 102 108 129 136 153 162 172 204 216 258 306 324 344 387 408 459 503 516 612 648 731 774 918 1006 1032 1161 1224 1377 1462 1509 1548 1836 2012 2193 2322 2754 2924 3018 3096 3483 3672 4024 4386 4527 4644 5508 5848 6036 6579 6966 8551 8772 9054 9288 11016 12072 13158 13581 13932 17102 17544 18108 19737 21629 25653 26316 27162 27864 34204 36216 39474 40743 43258 51306 52632 54324 59211 64887 68408 76959 78948 81486 86516 102612 108648 118422 129774 153918 157896 162972 173032 194661 205224 230877 236844 259548 307836 325944 367693 389322 461754 473688 519096 583983 615672 692631 735386 778644 923508 1103079 1167966 1385262 1470772 1557288 1751949 1847016 2206158 2335932 2770524 2941544 3309237 3503898 4412316 4671864 5541048 6618474 7007796 8824632 9927711 13236948 14015592 19855422 26473896 29783133 39710844 59566266 79421688 119132532 238265064