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2300000032 = 25116534091
BaseRepresentation
bin1000100100010111…
…0011011100100000
312221021212002220101
42021011303130200
514202300000112
61020120552144
7110665451311
oct21105633440
95837762811
102300000032
11a80321080
12542322654
132a8675185
1417b66c608
15d6dc1757
hex89173720

2300000032 has 24 divisors (see below), whose sum is σ = 4939773552. Its totient is φ = 1045454400.

The previous prime is 2299999997. The next prime is 2300000041.

2300000032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2299999964 and 2300000018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3266694 + ... + 3267397.

It is an arithmetic number, because the mean of its divisors is an integer number (205823898).

Almost surely, 22300000032 is an apocalyptic number.

2300000032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2300000032 is an abundant number, since it is smaller than the sum of its proper divisors (2639773520).

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

2300000032 is a wasteful number, since it uses less digits than its factorization.

2300000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534112 (or 6534104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2300000032 is about 47958.3155667503. The cubic root of 2300000032 is about 1320.0061279177.

It can be divided in two parts, 23000000 and 32, that added together give a palindrome (23000032).

The spelling of 2300000032 in words is "two billion, three hundred million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6534091 13068182 26136364 52272728 71875001 104545456 143750002 209090912 287500004 575000008 1150000016 2300000032