Search a number
-
+
2133330024 = 2337591371571
BaseRepresentation
bin111111100101000…
…0000100001101000
312111200020101122010
41333022000201220
513332113030044
6551404355520
7103603002030
oct17712004150
95450211563
102133330024
119a5233471
124b6545ba0
1327cc8a777
141634848c0
15c744cbb9
hex7f280868

2133330024 has 128 divisors (see below), whose sum is σ = 6247756800. Its totient is φ = 594439680.

The previous prime is 2133330011. The next prime is 2133330041. The reversal of 2133330024 is 4200333312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1357159 + ... + 1358729.

It is an arithmetic number, because the mean of its divisors is an integer number (48810600).

Almost surely, 22133330024 is an apocalyptic number.

2133330024 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 2133330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123878400).

2133330024 is an abundant number, since it is smaller than the sum of its proper divisors (4114426776).

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

2133330024 is a wasteful number, since it uses less digits than its factorization.

2133330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2133330024 is about 46187.9857105720. The cubic root of 2133330024 is about 1287.3185138225.

Adding to 2133330024 its reverse (4200333312), we get a palindrome (6333663336).

The spelling of 2133330024 in words is "two billion, one hundred thirty-three million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 137 168 177 236 274 354 411 413 472 548 708 822 826 959 1096 1239 1416 1571 1644 1652 1918 2478 2877 3142 3288 3304 3836 4713 4956 5754 6284 7672 8083 9426 9912 10997 11508 12568 16166 18852 21994 23016 24249 32332 32991 37704 43988 48498 56581 64664 65982 87976 92689 96996 113162 131964 169743 185378 193992 215227 226324 263928 278067 339486 370756 430454 452648 556134 645681 648823 678972 741512 860908 1112268 1291362 1297646 1357944 1506589 1721816 1946469 2224536 2582724 2595292 3013178 3892938 4519767 5165448 5190584 6026356 7785876 9039534 12052712 12698393 15571752 18079068 25396786 36158136 38095179 50793572 76190358 88888751 101587144 152380716 177777502 266666253 304761432 355555004 533332506 711110008 1066665012 2133330024