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2300025056 = 25719153759
BaseRepresentation
bin1000100100010111…
…1001100011100000
312221021220101020012
42021011321203200
514202301300211
61020121304052
7110665614260
oct21105714340
95837811205
102300025056
11a8033895a
12542335028
132a8683694
1417b6777a0
15d6dc8d8b
hex891798e0

2300025056 has 48 divisors (see below), whose sum is σ = 5202247680. Its totient is φ = 980545920.

The previous prime is 2300025019. The next prime is 2300025059. The reversal of 2300025056 is 6505200032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300025059) 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 7 ways as a sum of consecutive naturals, for example, 15905 + ... + 69663.

It is an arithmetic number, because the mean of its divisors is an integer number (108380160).

Almost surely, 22300025056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601123840).

2300025056 is an abundant number, since it is smaller than the sum of its proper divisors (2902222624).

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

2300025056 is a wasteful number, since it uses less digits than its factorization.

2300025056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53967 (or 53959 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2300025056 is about 47958.5764592737. The cubic root of 2300025056 is about 1320.0109151225.

Adding to 2300025056 its reverse (6505200032), we get a palindrome (8805225088).

The spelling of 2300025056 in words is "two billion, three hundred million, twenty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2674 3056 5348 6112 10696 21392 42784 53759 107518 215036 376313 430072 752626 860144 1505252 1720288 3010504 6021008 10267969 12042016 20535938 41071876 71875783 82143752 143751566 164287504 287503132 328575008 575006264 1150012528 2300025056