Search a number
-
+
2133210024 = 2332112693447
BaseRepresentation
bin111111100100110…
…0011001110101000
312111200000022000200
41333021203032220
513332100210044
6551402032200
7103601662131
oct17711431650
95450008020
102133210024
119a51612a0
124b64a8660
1327cc47c6a
14163452c88
15c7427369
hex7f2633a8

2133210024 has 48 divisors (see below), whose sum is σ = 6302668320. Its totient is φ = 646427040.

The previous prime is 2133210017. The next prime is 2133210029. The reversal of 2133210024 is 4200123312.

It is a super-3 number, since 3×21332100243 (a number of 29 digits) contains 333 as substring.

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 = 2133209979 and 2133210006.

It is not an unprimeable number, because it can be changed into a prime (2133210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345932 + ... + 1347515.

It is an arithmetic number, because the mean of its divisors is an integer number (131305590).

Almost surely, 22133210024 is an apocalyptic number.

2133210024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2133210024 is an abundant number, since it is smaller than the sum of its proper divisors (4169458296).

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

2133210024 is a wasteful number, since it uses less digits than its factorization.

2133210024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693470 (or 2693463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133210024 is about 46186.6866531904. The cubic root of 2133210024 is about 1287.2943761104.

Adding to 2133210024 its reverse (4200123312), we get a palindrome (6333333336).

The spelling of 2133210024 in words is "two billion, one hundred thirty-three million, two hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2693447 5386894 8080341 10773788 16160682 21547576 24241023 29627917 32321364 48482046 59255834 64642728 88883751 96964092 118511668 177767502 193928184 237023336 266651253 355535004 533302506 711070008 1066605012 2133210024