Base | Representation |
---|---|
bin | 10101101000010010… |
… | …100110010011000000 |
3 | 2012221120001222212001 |
4 | 111220102212103000 |
5 | 340030440324100 |
6 | 14400314313344 |
7 | 1451345232103 |
oct | 255022462300 |
9 | 65846058761 |
10 | 23224542400 |
11 | 99387154a4 |
12 | 4601a28854 |
13 | 226175a2a7 |
14 | 11a465c73a |
15 | 90ddb5d6a |
hex | 5684a64c0 |
23224542400 has 126 divisors (see below), whose sum is σ = 58397536748. Its totient is φ = 9090777600.
The previous prime is 23224542361. The next prime is 23224542427. The reversal of 23224542400 is 424542232.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3531115 + ... + 3537685.
Almost surely, 223224542400 is an apocalyptic number.
23224542400 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 23224542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198768374).
23224542400 is an abundant number, since it is smaller than the sum of its proper divisors (35172994348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23224542400 is an equidigital number, since it uses as much as digits as its factorization.
23224542400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6687 (or 6625 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 28.
The spelling of 23224542400 in words is "twenty-three billion, two hundred twenty-four million, five hundred forty-two thousand, four hundred".
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