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2177132868 = 223260475913
BaseRepresentation
bin1000000111000100…
…0110100101000100
312121201122210211200
42001301012211010
513424321222433
61000011302500
7104644216101
oct20161064504
95551583750
102177132868
11a17a31169
1250914aa30
13289086201
14169207aa8
15cb201613
hex81c46944

2177132868 has 18 divisors (see below), whose sum is σ = 5503308174. Its totient is φ = 725710944.

The previous prime is 2177132861. The next prime is 2177132929. The reversal of 2177132868 is 8682317712.

It can be written as a sum of positive squares in only one way, i.e., 1292546304 + 884586564 = 35952^2 + 29742^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2177132861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30237921 + ... + 30237992.

It is an arithmetic number, because the mean of its divisors is an integer number (305739343).

Almost surely, 22177132868 is an apocalyptic number.

It is an amenable number.

2177132868 is an abundant number, since it is smaller than the sum of its proper divisors (3326175306).

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

2177132868 is a wasteful number, since it uses less digits than its factorization.

2177132868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60475923 (or 60475918 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2177132868 is about 46659.7564074224. The cubic root of 2177132868 is about 1296.0695621670.

The spelling of 2177132868 in words is "two billion, one hundred seventy-seven million, one hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 60475913 120951826 181427739 241903652 362855478 544283217 725710956 1088566434 2177132868