Base | Representation |
---|---|
bin | 101010000110… |
… | …0111001100100 |
3 | 1112112102101000 |
4 | 1110030321210 |
5 | 21122313212 |
6 | 2105033300 |
7 | 355421400 |
oct | 124147144 |
9 | 45472330 |
10 | 22072932 |
11 | 115067a2 |
12 | 7485830 |
13 | 475ab0b |
14 | 2d08100 |
15 | 1e101dc |
hex | 150ce64 |
22072932 has 144 divisors (see below), whose sum is σ = 68819520. Its totient is φ = 6096384.
The previous prime is 22072931. The next prime is 22072933. The reversal of 22072932 is 23927022.
It is an interprime number because it is at equal distance from previous prime (22072931) and next prime (22072933).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 22072896 and 22072905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22072931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227508 + ... + 227604.
Almost surely, 222072932 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 22072932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34409760).
22072932 is an abundant number, since it is smaller than the sum of its proper divisors (46746588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22072932 is a wasteful number, since it uses less digits than its factorization.
22072932 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 22072932 is about 4698.1839044465. The cubic root of 22072932 is about 280.5132253766.
Adding to 22072932 its reverse (23927022), we get a palindrome (45999954).
The spelling of 22072932 in words is "twenty-two million, seventy-two thousand, nine hundred thirty-two".
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