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233668764 = 2232719371319
BaseRepresentation
bin11011110110110…
…00000010011100
3121021200121021200
431323120002130
5434304400024
635104155500
75535103020
oct1573300234
9537617250
10233668764
1110a99988a
1266308b90
1339545154
1423068380
15157aa2c9
hexded809c

233668764 has 144 divisors (see below), whose sum is σ = 730329600. Its totient is φ = 61492608.

The previous prime is 233668711. The next prime is 233668777. The reversal of 233668764 is 467866332.

233668764 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176497 + ... + 177815.

Almost surely, 2233668764 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 233668764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365164800).

233668764 is an abundant number, since it is smaller than the sum of its proper divisors (496660836).

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

233668764 is a wasteful number, since it uses less digits than its factorization.

233668764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1387 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 233668764 is about 15286.2279192743. The cubic root of 233668764 is about 615.9331145403.

It can be divided in two parts, 233668 and 764, that added together give a palindrome (234432).

The spelling of 233668764 in words is "two hundred thirty-three million, six hundred sixty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 37 38 42 57 63 74 76 84 111 114 126 133 148 171 222 228 252 259 266 333 342 399 444 518 532 666 684 703 777 798 1036 1197 1319 1332 1406 1554 1596 2109 2331 2394 2638 2812 3108 3957 4218 4662 4788 4921 5276 6327 7914 8436 9233 9324 9842 11871 12654 14763 15828 18466 19684 23742 25061 25308 27699 29526 36932 44289 47484 48803 50122 55398 59052 75183 83097 88578 97606 100244 110796 146409 150366 166194 175427 177156 195212 225549 292818 300732 332388 341621 350854 439227 451098 526281 585636 683242 701708 878454 902196 927257 1024863 1052562 1366484 1578843 1756908 1854514 2049726 2105124 2781771 3074589 3157686 3709028 4099452 5563542 6149178 6315372 6490799 8345313 11127084 12298356 12981598 16690626 19472397 25963196 33381252 38944794 58417191 77889588 116834382 233668764