Base | Representation |
---|---|
bin | 10101101000100001… |
… | …100100100000000000 |
3 | 2012221211110101200000 |
4 | 111220201210200000 |
5 | 340032441422300 |
6 | 14400534400000 |
7 | 1451423466501 |
oct | 255041444000 |
9 | 65854411600 |
10 | 23228467200 |
11 | 993a956234 |
12 | 4603200000 |
13 | 2262502863 |
14 | 11a4da0ba8 |
15 | 90e3ddc00 |
hex | 568864800 |
23228467200 has 432 divisors, whose sum is σ = 86316506640. Its totient is φ = 6190940160.
The previous prime is 23228467193. The next prime is 23228467201. The reversal of 23228467200 is 276482232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×232284672002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23228467201) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12440667 + ... + 12442533.
Almost surely, 223228467200 is an apocalyptic number.
23228467200 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 23228467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43158253320).
23228467200 is an abundant number, since it is smaller than the sum of its proper divisors (63088039440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23228467200 is an equidigital number, since it uses as much as digits as its factorization.
23228467200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1914 (or 1877 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The spelling of 23228467200 in words is "twenty-three billion, two hundred twenty-eight million, four hundred sixty-seven thousand, two hundred".
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