Search a number
-
+
22168872 = 233211231217
BaseRepresentation
bin101010010010…
…0010100101000
31112201021222100
41110210110220
521133400442
62111053400
7356301165
oct124442450
945637870
1022168872
1111571890
127511260
13479269b
142d3106c
151e2d84c
hex1524528

22168872 has 96 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 6420480.

The previous prime is 22168843. The next prime is 22168879. The reversal of 22168872 is 27886122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22168879) 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, 17608 + ... + 18824.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 222168872 is an apocalyptic number.

22168872 is a gapful number since it is divisible by the number (22) 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 22168872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

22168872 is an abundant number, since it is smaller than the sum of its proper divisors (46234008).

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

22168872 is a wasteful number, since it uses less digits than its factorization.

22168872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1256 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22168872 is about 4708.3831619782. The cubic root of 22168872 is about 280.9190548798.

The spelling of 22168872 in words is "twenty-two million, one hundred sixty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1217 1518 1656 2024 2277 2434 3036 3651 4554 4868 6072 7302 9108 9736 10953 13387 14604 18216 21906 26774 27991 29208 40161 43812 53548 55982 80322 83973 87624 107096 111964 120483 160644 167946 223928 240966 251919 307901 321288 335892 481932 503838 615802 671784 923703 963864 1007676 1231604 1847406 2015352 2463208 2771109 3694812 5542218 7389624 11084436 22168872