Search a number
-
+
230321324000 = 2553320317977
BaseRepresentation
bin1101011010000000111…
…0000111111111100000
3211000111111012112112102
43112200032013333200
512233144224332000
6253450321145532
722432401644345
oct3264016077740
9730444175472
10230321324000
1189751423759
123877a18b2a8
131894713a001
14b20d0907cc
155ed03c03d5
hex35a0387fe0

230321324000 has 96 divisors (see below), whose sum is σ = 566107659936. Its totient is φ = 92094643200.

The previous prime is 230321323997. The next prime is 230321324021. The reversal of 230321324000 is 423123032.

230321324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303213240002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12803012 + ... + 12820988.

It is an arithmetic number, because the mean of its divisors is an integer number (5896954791).

Almost surely, 2230321324000 is an apocalyptic number.

230321324000 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 230321324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283053829968).

230321324000 is an abundant number, since it is smaller than the sum of its proper divisors (335786335936).

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

230321324000 is a wasteful number, since it uses less digits than its factorization.

230321324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21205 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230321324000 its reverse (423123032), we get a palindrome (230744447032).

The spelling of 230321324000 in words is "two hundred thirty billion, three hundred twenty-one million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3203 4000 6406 12812 16015 17977 25624 32030 35954 51248 64060 71908 80075 89885 102496 128120 143816 160150 179770 256240 287632 320300 359540 400375 449425 512480 575264 640600 719080 800750 898850 1281200 1438160 1601500 1797700 2247125 2562400 2876320 3203000 3595400 4494250 6406000 7190800 8988500 12812000 14381600 17977000 35954000 57580331 71908000 115160662 230321324 287901655 460642648 575803310 921285296 1151606620 1439508275 1842570592 2303213240 2879016550 4606426480 5758033100 7197541375 9212852960 11516066200 14395082750 23032132400 28790165500 46064264800 57580331000 115160662000 230321324000