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1330224104 = 231153733907
BaseRepresentation
bin100111101001001…
…1001101111101000
310102201001101102102
41033102121233220
510211014132404
6335555152532
744651501246
oct11722315750
93381041372
101330224104
11622971070
123115a5748
1318278ac71
14c894b796
157bbb071e
hex4f499be8

1330224104 has 64 divisors (see below), whose sum is σ = 2810946240. Its totient is φ = 584962560.

The previous prime is 1330224101. The next prime is 1330224139. The reversal of 1330224104 is 4014220331.

It is not an unprimeable number, because it can be changed into a prime (1330224101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338519 + ... + 342425.

It is an arithmetic number, because the mean of its divisors is an integer number (43921035).

Almost surely, 21330224104 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 1330224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405473120).

1330224104 is an abundant number, since it is smaller than the sum of its proper divisors (1480722136).

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

1330224104 is a wasteful number, since it uses less digits than its factorization.

1330224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1330224104 is about 36472.2374416487. The cubic root of 1330224104 is about 1099.7862129983.

Adding to 1330224104 its reverse (4014220331), we get a palindrome (5344444435).

It can be divided in two parts, 1330 and 224104, that multiplied together give a triangular number (298058320 = T24415).

The spelling of 1330224104 in words is "one billion, three hundred thirty million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 53 73 88 106 146 212 292 424 583 584 803 1166 1606 2332 3212 3869 3907 4664 6424 7738 7814 15476 15628 30952 31256 42559 42977 85118 85954 170236 171908 207071 285211 340472 343816 414142 570422 828284 1140844 1656568 2277781 2281688 3137321 4555562 6274642 9111124 12549284 15116183 18222248 25098568 30232366 60464732 120929464 166278013 332556026 665112052 1330224104