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22131032 = 2371137971
BaseRepresentation
bin101010001101…
…1000101011000
31112122101001212
41110123011120
521131143112
62110202252
7356052650
oct124330530
945571055
1022131032
1111546410
1274b3388
13477b3b1
142d21360
151e22522
hex151b158

22131032 has 64 divisors (see below), whose sum is σ = 53187840. Its totient is φ = 8380800.

The previous prime is 22131017. The next prime is 22131049. The reversal of 22131032 is 23013122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22130998 and 22131016.

It is a congruent number.

It is an unprimeable number.

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, 22307 + ... + 23277.

It is an arithmetic number, because the mean of its divisors is an integer number (831060).

Almost surely, 222131032 is an apocalyptic number.

22131032 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 22131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593920).

22131032 is an abundant number, since it is smaller than the sum of its proper divisors (31056808).

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

22131032 is a wasteful number, since it uses less digits than its factorization.

22131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22131032 is about 4704.3630812258. The cubic root of 22131032 is about 280.7591304766.

Adding to 22131032 its reverse (23013122), we get a palindrome (45144154).

The spelling of 22131032 in words is "twenty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 971 1036 1628 1942 2072 2849 3256 3884 5698 6797 7768 10681 11396 13594 21362 22792 27188 35927 42724 54376 71854 74767 85448 143708 149534 251489 287416 299068 395197 502978 598136 790394 1005956 1580788 2011912 2766379 3161576 5532758 11065516 22131032