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2325074432 = 2921312
BaseRepresentation
bin1000101010010101…
…1101001000000000
320000001001000111212
42022211131020000
514230204340212
61022414225252
7111421543442
oct21245351000
96001030455
102325074432
11a9349791a
1254a7b5228
132b09141b5
14180b18492
15d91c5e22
hex8a95d200

2325074432 has 30 divisors (see below), whose sum is σ = 4647788739. Its totient is φ = 1161991680.

The previous prime is 2325074429. The next prime is 2325074447. The reversal of 2325074432 is 2344705232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1162537216 + 1162537216 = 34096^2 + 34096^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34096.

It is a super-2 number, since 2×23250744322 = 10811942228680245248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 1090007 + ... + 1092137.

Almost surely, 22325074432 is an apocalyptic number.

It is an amenable number.

2325074432 is a deficient number, since it is larger than the sum of its proper divisors (2322714307).

2325074432 is an frugal number, since it uses more digits than its factorization.

2325074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 2325074432 is about 48219.0256226730. The cubic root of 2325074432 is about 1324.7856650102.

Multiplying 2325074432 by its sum of digits (32), we get a square (74402381824 = 2727682).

2325074432 divided by its sum of digits (32) gives a square (72658576 = 85242).

Adding to 2325074432 its reverse (2344705232), we get a palindrome (4669779664).

The spelling of 2325074432 in words is "two billion, three hundred twenty-five million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 2131 4262 8524 17048 34096 68192 136384 272768 545536 1091072 4541161 9082322 18164644 36329288 72658576 145317152 290634304 581268608 1162537216 2325074432