Search a number
-
+
2129416184 = 237192001331
BaseRepresentation
bin111111011101100…
…0100111111111000
312111101212112212002
41332323010333320
513330112304214
6551144440132
7103524511310
oct17673047770
95441775762
102129416184
119a2aaa995
124b5179048
1327c21a19c
14162b46440
15c6e281de
hex7eec4ff8

2129416184 has 32 divisors (see below), whose sum is σ = 4803196800. Its totient is φ = 864574560.

The previous prime is 2129416151. The next prime is 2129416187. The reversal of 2129416184 is 4816149212.

It is a super-2 number, since 2×21294161842 = 9068826569362243712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129416187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999602 + ... + 1001729.

It is an arithmetic number, because the mean of its divisors is an integer number (150099900).

Almost surely, 22129416184 is an apocalyptic number.

It is an amenable number.

2129416184 is an abundant number, since it is smaller than the sum of its proper divisors (2673780616).

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

2129416184 is a wasteful number, since it uses less digits than its factorization.

2129416184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001363 (or 2001359 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 2129416184 is about 46145.5976665164. The cubic root of 2129416184 is about 1286.5307871339.

It can be divided in two parts, 21294 and 16184, that multiplied together give a square (344622096 = 185642).

The spelling of 2129416184 in words is "two billion, one hundred twenty-nine million, four hundred sixteen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2001331 4002662 8005324 14009317 16010648 28018634 38025289 56037268 76050578 112074536 152101156 266177023 304202312 532354046 1064708092 2129416184