Search a number
-
+
230441111234020 = 22537311406907073
BaseRepresentation
bin110100011001010111000000…
…100100111010010111100100
31010012220221210020221021001101
4310121113000210322113210
5220201021343433442040
62134035103545205444
766352551362441131
oct6431270044722744
91105827706837041
10230441111234020
1167475587782365
1221a19045a90884
139b776713a3b2b
1440c95a3165588
151b9947ea9d09a
hexd195c093a5e4

230441111234020 has 24 divisors (see below), whose sum is σ = 497005423690104. Its totient is φ = 89685189236736.

The previous prime is 230441111233937. The next prime is 230441111234029. The reversal of 230441111234020 is 20432111144032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57711704499684 + 172729406734336 = 7596822^2 + 13142656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230441111234020.

It is not an unprimeable number, because it can be changed into a prime (230441111234029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155703452797 + ... + 155703454276.

It is an arithmetic number, because the mean of its divisors is an integer number (20708559320421).

Almost surely, 2230441111234020 is an apocalyptic number.

230441111234020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230441111234020 is an abundant number, since it is smaller than the sum of its proper divisors (266564312456084).

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

230441111234020 is a wasteful number, since it uses less digits than its factorization.

230441111234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311406907119 (or 311406907117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 230441111234020 its reverse (20432111144032), we get a palindrome (250873222378052).

The spelling of 230441111234020 in words is "two hundred thirty trillion, four hundred forty-one billion, one hundred eleven million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 311406907073 622813814146 1245627628292 1557034535365 3114069070730 6228138141460 11522055561701 23044111123402 46088222246804 57610277808505 115220555617010 230441111234020