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2001230424 = 2332713531109
BaseRepresentation
bin111011101001000…
…0101101001011000
312011110200001001100
41313102011221120
513044303333144
6530325151400
7100410115014
oct16722055130
95143601040
102001230424
11937708046
1247a25b560
1325b7b841b
1414dad9544
15baa57269
hex77485a58

2001230424 has 96 divisors (see below), whose sum is σ = 5516877600. Its totient is φ = 655226880.

The previous prime is 2001230419. The next prime is 2001230453. The reversal of 2001230424 is 4240321002.

2001230424 is a `hidden beast` number, since 200 + 12 + 30 + 424 = 666.

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 = 2001230397 and 2001230406.

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, 1803982 + ... + 1805090.

It is an arithmetic number, because the mean of its divisors is an integer number (57467475).

Almost surely, 22001230424 is an apocalyptic number.

2001230424 is a gapful number since it is divisible by the number (24) 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 2001230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758438800).

2001230424 is an abundant number, since it is smaller than the sum of its proper divisors (3515647176).

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

2001230424 is a wasteful number, since it uses less digits than its factorization.

2001230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1538 counting only the distinct ones).

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

The square root of 2001230424 is about 44735.1139933721. The cubic root of 2001230424 is about 1260.1793697779.

Adding to 2001230424 its reverse (4240321002), we get a palindrome (6241551426).

The spelling of 2001230424 in words is "two billion, one million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 353 426 568 639 706 852 1059 1109 1278 1412 1704 2118 2218 2556 2824 3177 3327 4236 4436 5112 6354 6654 8472 8872 9981 12708 13308 19962 25063 25416 26616 39924 50126 75189 78739 79848 100252 150378 157478 200504 225567 236217 300756 314956 391477 451134 472434 601512 629912 708651 782954 902268 944868 1174431 1417302 1565908 1804536 1889736 2348862 2834604 3131816 3523293 4697724 5669208 7046586 9395448 14093172 27794867 28186344 55589734 83384601 111179468 166769202 222358936 250153803 333538404 500307606 667076808 1000615212 2001230424