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2001322320 = 243531126813
BaseRepresentation
bin111011101001001…
…1100000101010000
312011110211201002220
41313102130011100
513044314303240
6530331141040
7100410646644
oct16722340520
95143751086
102001322320
11937770098
1247a2a4780
1325b81b1ba
1414db20c24
15baa745d0
hex7749c150

2001322320 has 80 divisors (see below), whose sum is σ = 6224280192. Its totient is φ = 531950080.

The previous prime is 2001322291. The next prime is 2001322363. The reversal of 2001322320 is 232231002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001322320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61234 + ... + 88046.

Almost surely, 22001322320 is an apocalyptic number.

2001322320 is a gapful number since it is divisible by the number (20) 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 2001322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112140096).

2001322320 is an abundant number, since it is smaller than the sum of its proper divisors (4222957872).

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

2001322320 is a wasteful number, since it uses less digits than its factorization.

2001322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2001322320 is about 44736.1410941981. The cubic root of 2001322320 is about 1260.1986585231.

Adding to 2001322320 its reverse (232231002), we get a palindrome (2233553322).

The spelling of 2001322320 in words is "two billion, one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 26813 37320 53626 74640 80439 107252 134065 160878 214504 268130 321756 402195 429008 536260 643512 804390 1072520 1287024 1608780 2145040 3217560 6435120 8338843 16677686 25016529 33355372 41694215 50033058 66710744 83388430 100066116 125082645 133421488 166776860 200132232 250165290 333553720 400264464 500330580 667107440 1000661160 2001322320