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2328821820 = 22335131572113
BaseRepresentation
bin1000101011001111…
…0000000000111100
320000022002101222000
42022303300000330
514232134244240
61023030422300
7111465441663
oct21263600074
96008071860
102328821820
11a95617336
1254bb01990
132b1626aa0
14181411dda
15d96b6430
hex8acf003c

2328821820 has 192 divisors, whose sum is σ = 7855962240. Its totient is φ = 569327616.

The previous prime is 2328821809. The next prime is 2328821843. The reversal of 2328821820 is 281288232.

It is a super-2 number, since 2×23288218202 = 10846822138616224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1101084 + ... + 1103196.

It is an arithmetic number, because the mean of its divisors is an integer number (40916470).

Almost surely, 22328821820 is an apocalyptic number.

2328821820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328821820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927981120).

2328821820 is an abundant number, since it is smaller than the sum of its proper divisors (5527140420).

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

2328821820 is a wasteful number, since it uses less digits than its factorization.

2328821820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2328821820 is about 48257.8679595359. The cubic root of 2328821820 is about 1325.4970144458.

The spelling of 2328821820 in words is "two billion, three hundred twenty-eight million, eight hundred twenty-one thousand, eight hundred twenty".