Search a number
-
+
2133405234 = 2321941152147
BaseRepresentation
bin111111100101001…
…0010111000110010
312111200101012210200
41333022102320302
513332122431414
6551410140030
7103603434222
oct17712227062
95450335720
102133405234
119a5284a24
124b6581616
1327ccb5a7c
141634a4082
15c7465109
hex7f292e32

2133405234 has 48 divisors (see below), whose sum is σ = 4984368480. Its totient is φ = 657270720.

The previous prime is 2133405233. The next prime is 2133405299. The reversal of 2133405234 is 4325043312.

2133405234 is a `hidden beast` number, since 2 + 133 + 4 + 0 + 523 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2133405198 and 2133405207.

It is not an unprimeable number, because it can be changed into a prime (2133405233) 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 23 ways as a sum of consecutive naturals, for example, 62052 + ... + 90095.

It is an arithmetic number, because the mean of its divisors is an integer number (103841010).

Almost surely, 22133405234 is an apocalyptic number.

2133405234 is an abundant number, since it is smaller than the sum of its proper divisors (2850963246).

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

2133405234 is a wasteful number, since it uses less digits than its factorization.

2133405234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152215 (or 152212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2133405234 is about 46188.7998761605. The cubic root of 2133405234 is about 1287.3336416722. Note that the first 3 decimals are identical.

Adding to 2133405234 its reverse (4325043312), we get a palindrome (6458448546).

The spelling of 2133405234 in words is "two billion, one hundred thirty-three million, four hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 14022 152147 304294 456441 912882 1369323 2738646 2890793 5781586 6238027 8672379 12476054 17344758 18714081 26017137 37428162 52034274 56142243 112284486 118522513 237045026 355567539 711135078 1066702617 2133405234