Base | Representation |
---|---|
bin | 10101011000011010… |
… | …110001011000000000 |
3 | 2012020222222220122000 |
4 | 111120122301120000 |
5 | 334004302440342 |
6 | 14314042544000 |
7 | 1441632620634 |
oct | 253032613000 |
9 | 65228886560 |
10 | 22958249472 |
11 | 98113736a4 |
12 | 4548808000 |
13 | 221b531902 |
14 | 117b140dc4 |
15 | 8e581444c |
hex | 5586b1600 |
22958249472 has 160 divisors (see below), whose sum is σ = 68069928960. Its totient is φ = 7640156160.
The previous prime is 22958249449. The next prime is 22958249477. The reversal of 22958249472 is 27494285922.
22958249472 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 82 + 494 + 72 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22958249477) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 12592753 + ... + 12594575.
It is an arithmetic number, because the mean of its divisors is an integer number (425437056).
Almost surely, 222958249472 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22958249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034964480).
22958249472 is an abundant number, since it is smaller than the sum of its proper divisors (45111679488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22958249472 is an equidigital number, since it uses as much as digits as its factorization.
22958249472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2761 (or 2739 counting only the distinct ones).
The product of its digits is 5806080, while the sum is 54.
The spelling of 22958249472 in words is "twenty-two billion, nine hundred fifty-eight million, two hundred forty-nine thousand, four hundred seventy-two".
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