Search a number
-
+
22166232 = 23311217449
BaseRepresentation
bin101010010001…
…1101011011000
31112201011100120
41110203223120
521133304412
62111033240
7356260404
oct124435330
945634316
1022166232
111156a900
12750b820
13479141a
142d30104
151e2cb8c
hex1523ad8

22166232 has 96 divisors (see below), whose sum is σ = 64638000. Its totient is φ = 6307840.

The previous prime is 22166201. The next prime is 22166233. The reversal of 22166232 is 23266122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22166233) 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, 49144 + ... + 49592.

Almost surely, 222166232 is an apocalyptic number.

22166232 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 22166232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319000).

22166232 is an abundant number, since it is smaller than the sum of its proper divisors (42471768).

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

22166232 is a wasteful number, since it uses less digits than its factorization.

22166232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 22166232 is about 4708.1028026159. The cubic root of 22166232 is about 280.9079032713.

It can be divided in two parts, 2216 and 6232, that added together give a palindrome (8448).

The spelling of 22166232 in words is "twenty-two million, one hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 449 484 561 726 748 898 968 1122 1347 1452 1496 1796 2057 2244 2694 2904 3592 4114 4488 4939 5388 6171 7633 8228 9878 10776 12342 14817 15266 16456 19756 22899 24684 29634 30532 39512 45798 49368 54329 59268 61064 83963 91596 108658 118536 162987 167926 183192 217316 251889 325974 335852 434632 503778 651948 671704 923593 1007556 1303896 1847186 2015112 2770779 3694372 5541558 7388744 11083116 22166232