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30244224 = 2731741113
BaseRepresentation
bin111001101011…
…1110110000000
32002220120021110
41303113312000
530220303344
63000123320
7515033403
oct163276600
962816243
1030244224
1116087a2a
12a166540
13635c1ba
144033d3a
1529c63b9
hex1cd7d80

30244224 has 128 divisors (see below), whose sum is σ = 87907680. Its totient is φ = 9175040.

The previous prime is 30244213. The next prime is 30244231. The reversal of 30244224 is 42244203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 30244224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 267592 + ... + 267704.

Almost surely, 230244224 is an apocalyptic number.

30244224 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 30244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

30244224 is an abundant number, since it is smaller than the sum of its proper divisors (57663456).

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

30244224 is a wasteful number, since it uses less digits than its factorization.

30244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 30244224 is about 5499.4748840230. The cubic root of 30244224 is about 311.5641514510.

Subtracting from 30244224 its sum of digits (21), we obtain a palindrome (30244203).

Adding to 30244224 its reverse (42244203), we get a palindrome (72488427).

The spelling of 30244224 in words is "thirty million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 113 123 128 136 164 192 204 226 246 272 328 339 384 408 452 492 544 656 678 697 816 904 984 1088 1312 1356 1394 1632 1808 1921 1968 2091 2176 2624 2712 2788 3264 3616 3842 3936 4182 4633 5248 5424 5576 5763 6528 7232 7684 7872 8364 9266 10848 11152 11526 13899 14464 15368 15744 16728 18532 21696 22304 23052 27798 30736 33456 37064 43392 44608 46104 55596 61472 66912 74128 78761 89216 92208 111192 122944 133824 148256 157522 184416 222384 236283 245888 267648 296512 315044 368832 444768 472566 593024 630088 737664 889536 945132 1260176 1779072 1890264 2520352 3780528 5040704 7561056 10081408 15122112 30244224