Base | Representation |
---|---|
bin | 101010011011… |
… | …0111001110000 |
3 | 1112212011101000 |
4 | 1110312321300 |
5 | 21143314401 |
6 | 2112442000 |
7 | 360036105 |
oct | 124667160 |
9 | 45764330 |
10 | 22244976 |
11 | 11613a86 |
12 | 7549300 |
13 | 47bb210 |
14 | 2d50aac |
15 | 1e46186 |
hex | 1536e70 |
22244976 has 160 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 6414336.
The previous prime is 22244941. The next prime is 22245017. The reversal of 22244976 is 67944222.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22244976.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 95356 + ... + 95588.
It is an arithmetic number, because the mean of its divisors is an integer number (457002).
Almost surely, 222244976 is an apocalyptic number.
22244976 is a gapful number since it is divisible by the number (26) 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 22244976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).
22244976 is an abundant number, since it is smaller than the sum of its proper divisors (50875344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22244976 is a wasteful number, since it uses less digits than its factorization.
22244976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 268 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 22244976 is about 4716.4579930282. The cubic root of 22244976 is about 281.2401454325.
It can be divided in two parts, 22244 and 976, that added together give a triangular number (23220 = T215).
The spelling of 22244976 in words is "twenty-two million, two hundred forty-four thousand, nine hundred seventy-six".
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