Search a number
-
+
2164262505 = 352633071787
BaseRepresentation
bin1000000100000000…
…0000011001101001
312120211102221000120
42001000000121221
513413022400010
6554431353453
7104426633136
oct20100003151
95524387016
102164262505
11a107404a9
12504982889
132864cb002
1416761758d
15ca00ce70
hex81000669

2164262505 has 32 divisors (see below), whose sum is σ = 3489260544. Its totient is φ = 1145497536.

The previous prime is 2164262467. The next prime is 2164262549. The reversal of 2164262505 is 5052624612.

It is not a de Polignac number, because 2164262505 - 211 = 2164260457 is a prime.

It is a super-5 number, since 5×21642625055 (a number of 48 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210222 + ... + 1212008.

It is an arithmetic number, because the mean of its divisors is an integer number (109039392).

Almost surely, 22164262505 is an apocalyptic number.

It is an amenable number.

2164262505 is a deficient number, since it is larger than the sum of its proper divisors (1324998039).

2164262505 is a wasteful number, since it uses less digits than its factorization.

2164262505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2164262505 is about 46521.6348057546. The cubic root of 2164262505 is about 1293.5105598099.

The spelling of 2164262505 in words is "two billion, one hundred sixty-four million, two hundred sixty-two thousand, five hundred five".

Divisors: 1 3 5 15 263 307 789 921 1315 1535 1787 3945 4605 5361 8935 26805 80741 242223 403705 469981 548609 1211115 1409943 1645827 2349905 2743045 7049715 8229135 144284167 432852501 721420835 2164262505