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2001220992 = 2734251769
BaseRepresentation
bin111011101001000…
…0011010110000000
312011110122120010000
41313102003112000
513044303032432
6530325040000
7100410045351
oct16722032600
95143576100
102001220992
11937700a51
1247a256000
1325b7b4044
1414dad5d28
15baa5457c
hex77483580

2001220992 has 160 divisors (see below), whose sum is σ = 5987104200. Its totient is φ = 663552000.

The previous prime is 2001220987. The next prime is 2001221039. The reversal of 2001220992 is 2990221002.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2601984 + ... + 2602752.

Almost surely, 22001220992 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 2001220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993552100).

2001220992 is an abundant number, since it is smaller than the sum of its proper divisors (3985883208).

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

2001220992 is an equidigital number, since it uses as much as digits as its factorization.

2001220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2001220992 is about 44735.0085727051. The cubic root of 2001220992 is about 1260.1773899908.

Adding to 2001220992 its reverse (2990221002), we get a palindrome (4991441994).

It can be divided in two parts, 20012209 and 92, that added together give a triangular number (20012301 = T6326).

The spelling of 2001220992 in words is "two billion, one million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 251 288 324 384 432 502 576 648 753 769 864 1004 1152 1296 1506 1538 1728 2008 2259 2307 2592 3012 3076 3456 4016 4518 4614 5184 6024 6152 6777 6921 8032 9036 9228 10368 12048 12304 13554 13842 16064 18072 18456 20331 20763 24096 24608 27108 27684 32128 36144 36912 40662 41526 48192 49216 54216 55368 62289 72288 73824 81324 83052 96384 98432 108432 110736 124578 144576 147648 162648 166104 193019 216864 221472 249156 289152 295296 325296 332208 386038 433728 442944 498312 579057 650592 664416 772076 867456 885888 996624 1158114 1301184 1328832 1544152 1737171 1993248 2316228 2602368 2657664 3088304 3474342 3986496 4632456 5211513 6176608 6948684 7972992 9264912 10423026 12353216 13897368 15634539 18529824 20846052 24706432 27794736 31269078 37059648 41692104 55589472 62538156 74119296 83384208 111178944 125076312 166768416 222357888 250152624 333536832 500305248 667073664 1000610496 2001220992