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230652360 = 23345257277
BaseRepresentation
bin11011011111101…
…11100111001000
3121002000100120000
431233313213020
5433021333420
634515403000
75500340601
oct1557674710
9532010500
10230652360
11109219594
12652b3460
1338a2a1b3
14228c0da8
15153b1690
hexdbf79c8

230652360 has 160 divisors (see below), whose sum is σ = 781074360. Its totient is φ = 61046784.

The previous prime is 230652353. The next prime is 230652361. The reversal of 230652360 is 63256032.

230652360 is a `hidden beast` number, since 2 + 3 + 0 + 652 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208918116 + 21734244 = 14454^2 + 4662^2 .

It is a super-2 number, since 2×2306523602 = 106401022347139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230652361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832542 + ... + 832818.

Almost surely, 2230652360 is an apocalyptic number.

230652360 is a gapful number since it is divisible by the number (20) 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 230652360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390537180).

230652360 is an abundant number, since it is smaller than the sum of its proper divisors (550422000).

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

230652360 is a wasteful number, since it uses less digits than its factorization.

230652360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 230652360 is about 15187.2433311645. The cubic root of 230652360 is about 613.2712904580.

It can be divided in two parts, 23065 and 2360, that added together give a triangular number (25425 = T225).

The spelling of 230652360 in words is "two hundred thirty million, six hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 257 270 277 324 360 405 514 540 554 648 771 810 831 1028 1080 1108 1285 1385 1542 1620 1662 2056 2216 2313 2493 2570 2770 3084 3240 3324 3855 4155 4626 4986 5140 5540 6168 6648 6939 7479 7710 8310 9252 9972 10280 11080 11565 12465 13878 14958 15420 16620 18504 19944 20817 22437 23130 24930 27756 29916 30840 33240 34695 37395 41634 44874 46260 49860 55512 59832 69390 71189 74790 83268 89748 92520 99720 104085 112185 138780 142378 149580 166536 179496 208170 213567 224370 277560 284756 299160 355945 416340 427134 448740 569512 640701 711890 832680 854268 897480 1067835 1281402 1423780 1708536 1922103 2135670 2562804 2847560 3203505 3844206 4271340 5125608 5766309 6407010 7688412 8542680 9610515 11532618 12814020 15376824 19221030 23065236 25628040 28831545 38442060 46130472 57663090 76884120 115326180 230652360