Search a number
-
+
230096384 = 2971931109
BaseRepresentation
bin11011011011011…
…11111000000000
3121000222002220022
431231233320000
5432401041014
634455433012
75462533640
oct1555577000
9530862808
10230096384
11108979901
1265085768
133889410b
14227b8520
1515301a8e
hexdb6fe00

230096384 has 160 divisors (see below), whose sum is σ = 576153600. Its totient is φ = 89579520.

The previous prime is 230096381. The next prime is 230096407. The reversal of 230096384 is 483690032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230096381) 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, 2110922 + ... + 2111030.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 2230096384 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 230096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288076800).

230096384 is an abundant number, since it is smaller than the sum of its proper divisors (346057216).

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

230096384 is a wasteful number, since it uses less digits than its factorization.

230096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 230096384 is about 15168.9282416392. The cubic root of 230096384 is about 612.7781407305.

The spelling of 230096384 in words is "two hundred thirty million, ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 109 112 124 128 133 152 217 218 224 248 256 266 304 434 436 448 496 512 532 589 608 763 868 872 896 992 1064 1178 1216 1526 1736 1744 1792 1984 2071 2128 2356 2432 3052 3379 3472 3488 3584 3968 4123 4142 4256 4712 4864 6104 6758 6944 6976 7936 8246 8284 8512 9424 9728 12208 13516 13888 13952 14497 15872 16492 16568 17024 18848 23653 24416 27032 27776 27904 28994 32984 33136 34048 37696 47306 48832 54064 55552 55808 57988 64201 65968 66272 68096 75392 94612 97664 108128 111104 115976 128402 131936 132544 150784 189224 195328 216256 231952 256804 263872 265088 301568 378448 390656 432512 449407 463904 513608 527744 530176 756896 865024 898814 927808 1027216 1055488 1060352 1513792 1730048 1797628 1855616 2054432 2110976 3027584 3595256 3711232 4108864 6055168 7190512 7422464 8217728 12110336 14381024 16435456 28762048 32870912 57524096 115048192 230096384