Search a number
-
+
230418432 = 21135463
BaseRepresentation
bin11011011101111…
…10100000000000
3121001120110200000
431232332200000
5432441342212
634510400000
75465344566
oct1556764000
9531513600
10230418432
11109079862
1265200000
133897788a
142285da36
15153671dc
hexdbbe800

230418432 has 144 divisors (see below), whose sum is σ = 691629120. Its totient is φ = 76640256.

The previous prime is 230418373. The next prime is 230418437. The reversal of 230418432 is 234814032.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 230418396 and 230418405.

It is not an unprimeable number, because it can be changed into a prime (230418437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497433 + ... + 497895.

It is an arithmetic number, because the mean of its divisors is an integer number (4802980).

Almost surely, 2230418432 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 230418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345814560).

230418432 is an abundant number, since it is smaller than the sum of its proper divisors (461210688).

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

230418432 is an frugal number, since it uses more digits than its factorization.

230418432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230418432 is about 15179.5399139763. The cubic root of 230418432 is about 613.0638934135.

It can be divided in two parts, 2304 and 18432, that added together give a 4-th power (20736 = 124).

The spelling of 230418432 in words is "two hundred thirty million, four hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 463 486 512 576 648 768 864 926 972 1024 1152 1296 1389 1536 1728 1852 1944 2048 2304 2592 2778 3072 3456 3704 3888 4167 4608 5184 5556 6144 6912 7408 7776 8334 9216 10368 11112 12501 13824 14816 15552 16668 18432 20736 22224 25002 27648 29632 31104 33336 37503 41472 44448 50004 55296 59264 62208 66672 75006 82944 88896 100008 112509 118528 124416 133344 150012 165888 177792 200016 225018 237056 248832 266688 300024 355584 400032 450036 474112 497664 533376 600048 711168 800064 900072 948224 1066752 1200096 1422336 1600128 1800144 2133504 2400192 2844672 3200256 3600288 4267008 4800384 6400512 7200576 8534016 9600768 12801024 14401152 19201536 25602048 28802304 38403072 57604608 76806144 115209216 230418432