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2323226880 = 28335135171
BaseRepresentation
bin1000101001111001…
…1010000100000000
312222220120011011000
42022132122010000
514224221230010
61022310452000
7111400050132
oct21236320400
95886504130
102323226880
11a92445817
1254a064000
132b0418280
14180797052
15d8e5d7c0
hex8a79a100

2323226880 has 288 divisors, whose sum is σ = 8880117120. Its totient is φ = 571760640.

The previous prime is 2323226869. The next prime is 2323226887. The reversal of 2323226880 is 886223232.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2323226887) 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 31 ways as a sum of consecutive naturals, for example, 446695 + ... + 451865.

It is an arithmetic number, because the mean of its divisors is an integer number (30833740).

Almost surely, 22323226880 is an apocalyptic number.

2323226880 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 2323226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440058560).

2323226880 is an abundant number, since it is smaller than the sum of its proper divisors (6556890240).

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

2323226880 is a wasteful number, since it uses less digits than its factorization.

2323226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2323226880 is about 48199.8639002228. The cubic root of 2323226880 is about 1324.4346713724.

The spelling of 2323226880 in words is "two billion, three hundred twenty-three million, two hundred twenty-six thousand, eight hundred eighty".