Search a number
-
+
22033312 = 2571931167
BaseRepresentation
bin101010000001…
…1001110100000
31112110102000121
41110003032200
521120031222
62104130024
7355165030
oct124031640
945412017
1022033312
1111489a54
127466914
134745a82
142cd78c0
151e035c7
hex15033a0

22033312 has 96 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 8605440.

The previous prime is 22033303. The next prime is 22033313. The reversal of 22033312 is 21333022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22033313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131853 + ... + 132019.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 222033312 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 22033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

22033312 is an abundant number, since it is smaller than the sum of its proper divisors (32156768).

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

22033312 is a wasteful number, since it uses less digits than its factorization.

22033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 22033312 is about 4693.9654877300. The cubic root of 22033312 is about 280.3452883106.

Adding to 22033312 its reverse (21333022), we get a palindrome (43366334).

The spelling of 22033312 in words is "twenty-two million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 167 217 224 248 266 304 334 434 496 532 589 608 668 868 992 1064 1169 1178 1336 1736 2128 2338 2356 2672 3173 3472 4123 4256 4676 4712 5177 5344 6346 6944 8246 9352 9424 10354 12692 16492 18704 18848 20708 22211 25384 32984 36239 37408 41416 44422 50768 65968 72478 82832 88844 98363 101536 131936 144956 165664 177688 196726 289912 355376 393452 579824 688541 710752 786904 1159648 1377082 1573808 2754164 3147616 5508328 11016656 22033312