Search a number
-
+
2006883225 = 325261146221
BaseRepresentation
bin111011110011110…
…1001101110011001
312011212022020020100
41313213221232121
513102230230400
6531050250013
7100506140334
oct16747515631
95155266210
102006883225
1193a919086
12480126909
1325ca17389
1415076b61b
15bb2c2100
hex779e9b99

2006883225 has 36 divisors (see below), whose sum is σ = 3653502892. Its totient is φ = 1052784000.

The previous prime is 2006883187. The next prime is 2006883233. The reversal of 2006883225 is 5223886002.

It can be written as a sum of positive squares in 6 ways, for example, as 241118784 + 1765764441 = 15528^2 + 42021^2 .

It is not a de Polignac number, because 2006883225 - 230 = 933141401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2006883225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59386 + ... + 86835.

Almost surely, 22006883225 is an apocalyptic number.

2006883225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2006883225 is a deficient number, since it is larger than the sum of its proper divisors (1646619667).

2006883225 is a wasteful number, since it uses less digits than its factorization.

2006883225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146298 (or 146290 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2006883225 is about 44798.2502448477. The cubic root of 2006883225 is about 1261.3647815825.

The spelling of 2006883225 in words is "two billion, six million, eight hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1525 2745 4575 13725 146221 438663 731105 1315989 2193315 3655525 6579945 8919481 10966575 26758443 32899725 44597405 80275329 133792215 222987025 401376645 668961075 2006883225