Search a number
-
+
30322224 = 2432435983
BaseRepresentation
bin111001110101…
…0111000110000
32010001112021100
41303222320300
530230302344
63001524400
7515506662
oct163527060
963045240
1030322224
1116130599
12a1a3700
13638885a
144054532
1529de569
hex1ceae30

30322224 has 120 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 9588096.

The previous prime is 30322223. The next prime is 30322241. The reversal of 30322224 is 42222303.

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 = 30322197 and 30322206.

It is not an unprimeable number, because it can be changed into a prime (30322223) 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 23 ways as a sum of consecutive naturals, for example, 365287 + ... + 365369.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 230322224 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 30322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

30322224 is an abundant number, since it is smaller than the sum of its proper divisors (59047056).

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

30322224 is a wasteful number, since it uses less digits than its factorization.

30322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30322224 is about 5506.5619037654. The cubic root of 30322224 is about 311.8317633431.

Adding to 30322224 its reverse (42222303), we get a palindrome (72544527).

The spelling of 30322224 in words is "thirty million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 59 72 83 86 118 129 144 166 172 177 236 249 258 332 344 354 387 472 498 516 531 664 688 708 747 774 944 996 1032 1062 1328 1416 1494 1548 1992 2064 2124 2537 2832 2988 3096 3569 3984 4248 4897 5074 5976 6192 7138 7611 8496 9794 10148 10707 11952 14276 14691 15222 19588 20296 21414 22833 28552 29382 30444 32121 39176 40592 42828 44073 45666 57104 58764 60888 64242 78352 85656 88146 91332 117528 121776 128484 171312 176292 182664 210571 235056 256968 352584 365328 421142 513936 631713 705168 842284 1263426 1684568 1895139 2526852 3369136 3790278 5053704 7580556 10107408 15161112 30322224