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30142224 = 24327171759
BaseRepresentation
bin111001011111…
…0111100010000
32002201101100200
41302332330100
530204022344
62554015200
7514130130
oct162767420
962641320
1030142224
1116018332
12a117500
136324948
144008ac0
1529a6069
hex1cbef10

30142224 has 120 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 8100864.

The previous prime is 30142201. The next prime is 30142237. The reversal of 30142224 is 42224103.

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 = 30142197 and 30142206.

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, 16257 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 230142224 is an apocalyptic number.

30142224 is a gapful number since it is divisible by the number (34) 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 30142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

30142224 is an abundant number, since it is smaller than the sum of its proper divisors (71994096).

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

30142224 is a wasteful number, since it uses less digits than its factorization.

30142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30142224 is about 5490.1934392151. The cubic root of 30142224 is about 311.2135022767.

Adding to 30142224 its reverse (42224103), we get a palindrome (72366327).

The spelling of 30142224 in words is "thirty million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1759 1904 2142 2448 2856 3518 4284 5277 5712 7036 8568 10554 12313 14072 15831 17136 21108 24626 28144 29903 31662 36939 42216 49252 59806 63324 73878 84432 89709 98504 110817 119612 126648 147756 179418 197008 209321 221634 239224 253296 269127 295512 358836 418642 443268 478448 538254 591024 627963 717672 837284 886536 1076508 1255926 1435344 1674568 1773072 1883889 2153016 2511852 3349136 3767778 4306032 5023704 7535556 10047408 15071112 30142224