Search a number
-
+
22802166 = 23219611093
BaseRepresentation
bin101011011111…
…0111011110110
31120220110200200
41112332323312
521314132131
62132421330
7364546422
oct126767366
946813620
1022802166
1111964672
127777846
134954a0a
143057b82
1520062e6
hex15beef6

22802166 has 48 divisors (see below), whose sum is σ = 52905840. Its totient is φ = 7076160.

The previous prime is 22802161. The next prime is 22802167. The reversal of 22802166 is 66120822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22802161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20316 + ... + 21408.

It is an arithmetic number, because the mean of its divisors is an integer number (1102205).

Almost surely, 222802166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22802166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26452920).

22802166 is an abundant number, since it is smaller than the sum of its proper divisors (30103674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22802166 is a wasteful number, since it uses less digits than its factorization.

22802166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22802166 is about 4775.1613585302. The cubic root of 22802166 is about 283.5689669188.

Adding to 22802166 its reverse (66120822), we get a palindrome (88922988).

The spelling of 22802166 in words is "twenty-two million, eight hundred two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1093 1098 1159 2186 2318 3279 3477 6558 6954 9837 10431 19674 20767 20862 41534 62301 66673 124602 133346 186903 200019 373806 400038 600057 1200114 1266787 2533574 3800361 7600722 11401083 22802166