Base | Representation |
---|---|
bin | 10010111011111000… |
… | …100000111001101000 |
3 | 1221110222021210201201 |
4 | 102323320200321220 |
5 | 313114444222100 |
6 | 13201305453544 |
7 | 1316563230103 |
oct | 227370407150 |
9 | 57428253651 |
10 | 20332023400 |
11 | 8693996127 |
12 | 3b351a12b4 |
13 | 1bc04086a0 |
14 | dac43373a |
15 | 7deea336a |
hex | 4bbe20e68 |
20332023400 has 96 divisors (see below), whose sum is σ = 51054779160. Its totient is φ = 7485603840.
The previous prime is 20332023377. The next prime is 20332023403. The reversal of 20332023400 is 432023302.
It can be written as a sum of positive squares in 12 ways, for example, as 1397712996 + 18934310404 = 37386^2 + 137602^2 .
It is not an unprimeable number, because it can be changed into a prime (20332023403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906724 + ... + 928876.
Almost surely, 220332023400 is an apocalyptic number.
20332023400 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 20332023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25527389580).
20332023400 is an abundant number, since it is smaller than the sum of its proper divisors (30722755760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20332023400 is a wasteful number, since it uses less digits than its factorization.
20332023400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22535 (or 22526 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 19.
Adding to 20332023400 its reverse (432023302), we get a palindrome (20764046702).
The spelling of 20332023400 in words is "twenty billion, three hundred thirty-two million, twenty-three thousand, four hundred".
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