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230889984 = 2931331373
BaseRepresentation
bin11011100001100…
…01101000000000
3121002110102111220
431300301220000
5433101434414
634524435040
75502350433
oct1560615000
9532412456
10230889984
11109371076
12653a8a80
1338ab13c0
142294381a
151540bca9
hexdc31a00

230889984 has 160 divisors (see below), whose sum is σ = 685622784. Its totient is φ = 68567040.

The previous prime is 230889979. The next prime is 230890003. The reversal of 230889984 is 489988032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618822 + ... + 619194.

Almost surely, 2230889984 is an apocalyptic number.

230889984 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 230889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342811392).

230889984 is an abundant number, since it is smaller than the sum of its proper divisors (454732800).

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

230889984 is a wasteful number, since it uses less digits than its factorization.

230889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 230889984 is about 15195.0644618573. The cubic root of 230889984 is about 613.4818208012.

The spelling of 230889984 in words is "two hundred thirty million, eight hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 373 384 403 416 496 512 624 744 746 768 806 832 992 1119 1209 1248 1488 1492 1536 1612 1664 1984 2238 2418 2496 2976 2984 3224 3328 3968 4476 4836 4849 4992 5952 5968 6448 6656 7936 8952 9672 9698 9984 11563 11904 11936 12896 14547 15872 17904 19344 19396 19968 23126 23808 23872 25792 29094 34689 35808 38688 38792 46252 47616 47744 51584 58188 69378 71616 77376 77584 92504 95488 103168 116376 138756 143232 150319 154752 155168 185008 190976 206336 232752 277512 286464 300638 309504 310336 370016 450957 465504 555024 572928 601276 619008 620672 740032 901914 931008 1110048 1202552 1241344 1480064 1803828 1862016 2220096 2405104 2482688 2960128 3607656 3724032 4440192 4810208 5920256 7215312 7448064 8880384 9620416 14430624 17760768 19240832 28861248 38481664 57722496 76963328 115444992 230889984