Search a number
-
+
230920512 = 2631319181
BaseRepresentation
bin11011100001110…
…01000101000000
3121002111222101120
431300321011000
5433103424022
634525232240
75502535434
oct1560710500
9532458346
10230920512
11109391aa9
1265402680
1338ac2274
14229509c4
1515415d5c
hexdc39140

230920512 has 56 divisors (see below), whose sum is σ = 615708192. Its totient is φ = 76377600.

The previous prime is 230920507. The next prime is 230920549. The reversal of 230920512 is 215029032.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20562 + ... + 29742.

Almost surely, 2230920512 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 230920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307854096).

230920512 is an abundant number, since it is smaller than the sum of its proper divisors (384787680).

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

230920512 is a wasteful number, since it uses less digits than its factorization.

230920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 230920512 is about 15196.0689653607. The cubic root of 230920512 is about 613.5088575560.

Adding to 230920512 its reverse (215029032), we get a palindrome (445949544).

The spelling of 230920512 in words is "two hundred thirty million, nine hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 9181 12576 18362 25152 27543 36724 55086 73448 110172 146896 220344 293792 440688 587584 881376 1202711 1762752 2405422 3608133 4810844 7216266 9621688 14432532 19243376 28865064 38486752 57730128 76973504 115460256 230920512