Search a number
-
+
22132236 = 22371731523
BaseRepresentation
bin101010001101…
…1011000001100
31112122102201110
41110123120030
521131212421
62110212020
7356056320
oct124333014
945572643
1022132236
1111547305
1274b4010
13477bac9
142d21980
151e22a76
hex151b60c

22132236 has 48 divisors (see below), whose sum is σ = 59399424. Its totient is φ = 6282816.

The previous prime is 22132223. The next prime is 22132237. The reversal of 22132236 is 63223122.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is not an unprimeable number, because it can be changed into a prime (22132237) 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 15 ways as a sum of consecutive naturals, for example, 13771 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (1237488).

Almost surely, 222132236 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 22132236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712).

22132236 is an abundant number, since it is smaller than the sum of its proper divisors (37267188).

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

22132236 is a wasteful number, since it uses less digits than its factorization.

22132236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 22132236 is about 4704.4910457987. The cubic root of 22132236 is about 280.7642217871.

Adding to 22132236 its reverse (63223122), we get a palindrome (85355358).

The spelling of 22132236 in words is "twenty-two million, one hundred thirty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 1523 2076 2422 3046 3633 4569 4844 6092 7266 9138 10661 14532 18276 21322 31983 42644 63966 127932 263479 526958 790437 1053916 1580874 1844353 3161748 3688706 5533059 7377412 11066118 22132236