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2325464064 = 2103271129113
BaseRepresentation
bin1000101010011011…
…1100010000000000
320000001202210222200
42022212330100000
514230304322224
61022430433200
7111425055420
oct21246742000
96001683880
102325464064
11a93733630
1254a962800
132b0a1c651
14180bba480
15d92515c9
hex8a9bc400

2325464064 has 528 divisors, whose sum is σ = 8736923520. Its totient is φ = 578027520.

The previous prime is 2325464033. The next prime is 2325464081. The reversal of 2325464064 is 4604645232.

2325464064 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 4 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×23254640642 = 10815566225910792192, 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20579272 + ... + 20579384.

Almost surely, 22325464064 is an apocalyptic number.

2325464064 is a gapful number since it is divisible by the number (24) 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 2325464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368461760).

2325464064 is an abundant number, since it is smaller than the sum of its proper divisors (6411459456).

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

2325464064 is a wasteful number, since it uses less digits than its factorization.

2325464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2325464064 is about 48223.0656843797. The cubic root of 2325464064 is about 1324.8596626495.

The spelling of 2325464064 in words is "two billion, three hundred twenty-five million, four hundred sixty-four thousand, sixty-four".