Search a number
-
+
22216032 = 25352857
BaseRepresentation
bin101010010111…
…1110101100000
31112210200200000
41110233311200
521141403112
62112100000
7356555526
oct124576540
945720600
1022216032
11115a4263
127534600
1347aaca7
142d44316
151e3c7dc
hex152fd60

22216032 has 72 divisors (see below), whose sum is σ = 65539656. Its totient is φ = 7402752.

The previous prime is 22216031. The next prime is 22216043. The reversal of 22216032 is 23061222.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22215996 and 22216014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22216031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6348 + ... + 9204.

It is an arithmetic number, because the mean of its divisors is an integer number (910273).

Almost surely, 222216032 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 22216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32769828).

22216032 is an abundant number, since it is smaller than the sum of its proper divisors (43323624).

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

22216032 is an equidigital number, since it uses as much as digits as its factorization.

22216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22216032 is about 4713.3885899637. The cubic root of 22216032 is about 281.1181141648.

Adding to 22216032 its reverse (23061222), we get a palindrome (45277254).

The spelling of 22216032 in words is "twenty-two million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2857 3888 5714 7776 8571 11428 17142 22856 25713 34284 45712 51426 68568 77139 91424 102852 137136 154278 205704 231417 274272 308556 411408 462834 617112 694251 822816 925668 1234224 1388502 1851336 2468448 2777004 3702672 5554008 7405344 11108016 22216032