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2328328100 = 225272475169
BaseRepresentation
bin1000101011000111…
…0111011110100100
320000021011022201002
42022301313132210
514232022444400
61023012052432
7111461314400
oct21261673644
96007138632
102328328100
11a9530a3aa
1254b904118
132b14b3147
14181324100
15d9619ed5
hex8ac777a4

2328328100 has 54 divisors (see below), whose sum is σ = 5877377730. Its totient is φ = 798282240.

The previous prime is 2328328097. The next prime is 2328328103. The reversal of 2328328100 is 18238232.

It is an interprime number because it is at equal distance from previous prime (2328328097) and next prime (2328328103).

It can be written as a sum of positive squares in 3 ways, for example, as 494261824 + 1834066276 = 22232^2 + 42826^2 .

It is a super-2 number, since 2×23283281002 = 10842223482499220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2328328103) 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 17 ways as a sum of consecutive naturals, for example, 232685 + ... + 242484.

Almost surely, 22328328100 is an apocalyptic number.

2328328100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328328100 is an abundant number, since it is smaller than the sum of its proper divisors (3549049630).

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

2328328100 is a wasteful number, since it uses less digits than its factorization.

2328328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475197 (or 475183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2328328100 is about 48252.7522531099. The cubic root of 2328328100 is about 1325.4033375155.

The spelling of 2328328100 in words is "two billion, three hundred twenty-eight million, three hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 475169 950338 1900676 2375845 3326183 4751690 6652366 9503380 11879225 13304732 16630915 23283281 23758450 33261830 46566562 47516900 66523660 83154575 93133124 116416405 166309150 232832810 332618300 465665620 582082025 1164164050 2328328100