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230051328 = 2931341281
BaseRepresentation
bin11011011011001…
…00111000000000
3121000212211002120
431231210320000
5432343120303
634454444240
75462255403
oct1555447000
9530784076
10230051328
11108948a71
1265063680
1338879760
14227a5d3a
15152e3553
hexdb64e00

230051328 has 160 divisors (see below), whose sum is σ = 678519072. Its totient is φ = 68812800.

The previous prime is 230051309. The next prime is 230051329. The reversal of 230051328 is 823150032.

230051328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2300513282 = 105847227029127168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230051298 and 230051307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230051329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818548 + ... + 818828.

Almost surely, 2230051328 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 230051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339259536).

230051328 is an abundant number, since it is smaller than the sum of its proper divisors (448467744).

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

230051328 is a wasteful number, since it uses less digits than its factorization.

230051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 230051328 is about 15167.4430277486. The cubic root of 230051328 is about 612.7381413562.

It can be divided in two parts, 2300 and 51328, that added together give a triangular number (53628 = T327).

The spelling of 230051328 in words is "two hundred thirty million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 281 312 328 384 416 492 512 533 562 624 656 768 832 843 984 1066 1124 1248 1312 1536 1599 1664 1686 1968 2132 2248 2496 2624 3198 3328 3372 3653 3936 4264 4496 4992 5248 6396 6656 6744 7306 7872 8528 8992 9984 10496 10959 11521 12792 13488 14612 15744 17056 17984 19968 20992 21918 23042 25584 26976 29224 31488 34112 34563 35968 43836 46084 51168 53952 58448 62976 68224 69126 71936 87672 92168 102336 107904 116896 136448 138252 143872 149773 175344 184336 204672 215808 233792 272896 276504 299546 350688 368672 409344 431616 449319 467584 553008 599092 701376 737344 818688 898638 935168 1106016 1198184 1402752 1474688 1797276 1870336 2212032 2396368 2805504 2949376 3594552 4424064 4792736 5611008 5898752 7189104 8848128 9585472 14378208 17696256 19170944 28756416 38341888 57512832 76683776 115025664 230051328