Base | Representation |
---|---|
bin | 101010010000… |
… | …1010010000000 |
3 | 1112200122220000 |
4 | 1110201102000 |
5 | 21133001131 |
6 | 2110520000 |
7 | 356216652 |
oct | 124412200 |
9 | 45618800 |
10 | 22156416 |
11 | 11563497 |
12 | 7506000 |
13 | 4789b09 |
14 | 2d2a6d2 |
15 | 1e29ce6 |
hex | 1521480 |
22156416 has 80 divisors (see below), whose sum is σ = 65967990. Its totient is φ = 7382016.
The previous prime is 22156397. The next prime is 22156439. The reversal of 22156416 is 61465122.
22156416 is a `hidden beast` number, since 2 + 2 + 15 + 641 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 21902400 + 254016 = 4680^2 + 504^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 22156416.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9300 + ... + 11436.
Almost surely, 222156416 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 22156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32983995).
22156416 is an abundant number, since it is smaller than the sum of its proper divisors (43811574).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22156416 is an equidigital number, since it uses as much as digits as its factorization.
22156416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2163 (or 2142 counting only the distinct ones).
The product of its digits is 2880, while the sum is 27.
The square root of 22156416 is about 4707.0602290602. The cubic root of 22156416 is about 280.8664317949.
The spelling of 22156416 in words is "twenty-two million, one hundred fifty-six thousand, four hundred sixteen".
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