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6104224 = 257217229
BaseRepresentation
bin10111010010010010100000
3102111010102101
4113102102200
53030313344
6334500144
7102612400
oct27222240
912433371
106104224
11349a215
122064654
131359589
14b4c800
158089d4
hex5d24a0

6104224 has 72 divisors (see below), whose sum is σ = 14866740. Its totient is φ = 2451456.

The previous prime is 6104221. The next prime is 6104227. The reversal of 6104224 is 4224016.

It is an interprime number because it is at equal distance from previous prime (6104221) and next prime (6104227).

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 960400 = 2268^2 + 980^2 .

It is not an unprimeable number, because it can be changed into a prime (6104221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26542 + ... + 26770.

Almost surely, 26104224 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 6104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433370).

6104224 is an abundant number, since it is smaller than the sum of its proper divisors (8762516).

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

6104224 is a wasteful number, since it uses less digits than its factorization.

6104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6104224 is about 2470.6727828670. The cubic root of 6104224 is about 182.7581784058.

It can be divided in two parts, 6104 and 224, that added together give a triangular number (6328 = T112).

The spelling of 6104224 in words is "six million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 229 238 272 392 458 476 544 784 833 916 952 1568 1603 1666 1832 1904 3206 3332 3664 3808 3893 6412 6664 7328 7786 11221 12824 13328 15572 22442 25648 26656 27251 31144 44884 51296 54502 62288 89768 109004 124576 179536 190757 218008 359072 381514 436016 763028 872032 1526056 3052112 6104224