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2001214944 = 253315714753
BaseRepresentation
bin111011101001000…
…0001110111100000
312011110122020211000
41313102001313200
513044302334234
6530324552000
7100410021621
oct16722016740
95143566730
102001214944
119376a7453
1247a252600
1325b7b1371
1414dad3a48
15baa52899
hex77481de0

2001214944 has 96 divisors (see below), whose sum is σ = 5874452640. Its totient is φ = 662777856.

The previous prime is 2001214937. The next prime is 2001214979. The reversal of 2001214944 is 4494121002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20012149442 = 8009722504177846272, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128272 + ... + 143024.

It is an arithmetic number, because the mean of its divisors is an integer number (61192215).

Almost surely, 22001214944 is an apocalyptic number.

2001214944 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 2001214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937226320).

2001214944 is an abundant number, since it is smaller than the sum of its proper divisors (3873237696).

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

2001214944 is a wasteful number, since it uses less digits than its factorization.

2001214944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2001214944 is about 44734.9409745894. The cubic root of 2001214944 is about 1260.1761205058.

Adding to 2001214944 its reverse (4494121002), we get a palindrome (6495335946).

The spelling of 2001214944 in words is "two billion, one million, two hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1256 1413 1884 2512 2826 3768 4239 5024 5652 7536 8478 11304 14753 15072 16956 22608 29506 33912 44259 45216 59012 67824 88518 118024 132777 135648 177036 236048 265554 354072 398331 472096 531108 708144 796662 1062216 1416288 1593324 2124432 2316221 3186648 4248864 4632442 6373296 6948663 9264884 12746592 13897326 18529768 20845989 27794652 37059536 41691978 55589304 62537967 74119072 83383956 111178608 125075934 166767912 222357216 250151868 333535824 500303736 667071648 1000607472 2001214944