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30016224 = 253372709
BaseRepresentation
bin111001010000…
…0001011100000
32002110222112000
41302200023200
530141004344
62551204000
7513063600
oct162401340
962428460
1030016224
1115a416a7
12a076600
1362ac4a4
143db4c00
15297da69
hex1ca02e0

30016224 has 144 divisors (see below), whose sum is σ = 101984400. Its totient is φ = 8563968.

The previous prime is 30016211. The next prime is 30016241. The reversal of 30016224 is 42261003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 30016197 and 30016206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41982 + ... + 42690.

It is an arithmetic number, because the mean of its divisors is an integer number (708225).

Almost surely, 230016224 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 30016224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50992200).

30016224 is an abundant number, since it is smaller than the sum of its proper divisors (71968176).

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

30016224 is a wasteful number, since it uses less digits than its factorization.

30016224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 721 counting only the distinct ones).

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

The square root of 30016224 is about 5478.7064166644. The cubic root of 30016224 is about 310.7792535458.

Adding to 30016224 its reverse (42261003), we get a palindrome (72277227).

The spelling of 30016224 in words is "thirty million, sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 709 756 784 864 882 1008 1176 1323 1418 1512 1568 1764 2016 2127 2352 2646 2836 3024 3528 4254 4704 4963 5292 5672 6048 6381 7056 8508 9926 10584 11344 12762 14112 14889 17016 19143 19852 21168 22688 25524 29778 34032 34741 38286 39704 42336 44667 51048 59556 68064 69482 76572 79408 89334 102096 104223 119112 134001 138964 153144 158816 178668 204192 208446 238224 268002 277928 306288 312669 357336 416892 476448 536004 555856 612576 625338 714672 833784 938007 1072008 1111712 1250676 1429344 1667568 1876014 2144016 2501352 3335136 3752028 4288032 5002704 7504056 10005408 15008112 30016224