Base | Representation |
---|---|
bin | 10101101110000111… |
… | …001000100000100100 |
3 | 2020012100211112000220 |
4 | 111232013020200210 |
5 | 340230440400400 |
6 | 14414123404340 |
7 | 1453642300323 |
oct | 255607104044 |
9 | 66170745026 |
10 | 23322200100 |
11 | 9988857141 |
12 | 462a6836b0 |
13 | 2278a60904 |
14 | 11b36000ba |
15 | 9177567a0 |
hex | 56e1c8824 |
23322200100 has 144 divisors (see below), whose sum is σ = 70596731520. Its totient is φ = 5933312000.
The previous prime is 23322200029. The next prime is 23322200101. The reversal of 23322200100 is 100222332.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 23322200100.
It is not an unprimeable number, because it can be changed into a prime (23322200101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2762686 + ... + 2771114.
It is an arithmetic number, because the mean of its divisors is an integer number (490255080).
Almost surely, 223322200100 is an apocalyptic number.
23322200100 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 23322200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35298365760).
23322200100 is an abundant number, since it is smaller than the sum of its proper divisors (47274531420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23322200100 is a wasteful number, since it uses less digits than its factorization.
23322200100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8870 (or 8863 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 23322200100 its reverse (100222332), we get a palindrome (23422422432).
The spelling of 23322200100 in words is "twenty-three billion, three hundred twenty-two million, two hundred thousand, one hundred".
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