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2326236480 = 263251747513
BaseRepresentation
bin1000101010100111…
…1000110101000000
320000010020001112200
42022221320311000
514231004031410
61022455153200
7111434453361
oct21251706500
96003201480
102326236480
11a94110997
1254b075800
132b0c300b9
14180d3bb68
15d93553c0
hex8aa78d40

2326236480 has 168 divisors, whose sum is σ = 8472126312. Its totient is φ = 583827456.

The previous prime is 2326236467. The next prime is 2326236487. The reversal of 2326236480 is 846326232.

2326236480 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 2 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 2092513536 = 15288^2 + 45744^2 .

It is a super-2 number, since 2×23262364802 = 10822752321765580800, 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 not an unprimeable number, because it can be changed into a prime (2326236487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25204 + ... + 72716.

Almost surely, 22326236480 is an apocalyptic number.

2326236480 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 2326236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236063156).

2326236480 is an abundant number, since it is smaller than the sum of its proper divisors (6145889832).

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

2326236480 is a wasteful number, since it uses less digits than its factorization.

2326236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47553 (or 47540 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2326236480 is about 48231.0738010258. The cubic root of 2326236480 is about 1325.0063329471.

The spelling of 2326236480 in words is "two billion, three hundred twenty-six million, two hundred thirty-six thousand, four hundred eighty".