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2325733872 = 24371123109251
BaseRepresentation
bin1000101010011111…
…1110000111110000
320000002021112002120
42022213332013300
514230341440442
61022440314240
7111430261140
oct21247760760
96002245076
102325733872
11a938a8310
1254aa72980
132b0ab53b7
14180c4a920
15d92a64ec
hex8a9fe1f0

2325733872 has 320 divisors, whose sum is σ = 7919493120. Its totient is φ = 570240000.

The previous prime is 2325733867. The next prime is 2325733889. The reversal of 2325733872 is 2783375232.

It is a happy number.

It is a super-2 number, since 2×23257338722 = 10818076086736224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9265747 + ... + 9265997.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 22325733872 is an apocalyptic number.

2325733872 is a gapful number since it is divisible by the number (22) 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 2325733872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2325733872 is an abundant number, since it is smaller than the sum of its proper divisors (5593759248).

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

2325733872 is a wasteful number, since it uses less digits than its factorization.

2325733872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 2325733872 is about 48225.8631026963. The cubic root of 2325733872 is about 1324.9108988619.

The spelling of 2325733872 in words is "two billion, three hundred twenty-five million, seven hundred thirty-three thousand, eight hundred seventy-two".