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2325665232 = 2432112935011
BaseRepresentation
bin1000101010011110…
…1101010111010000
320000002011000221100
42022213231113100
514230332241412
61022435024400
7111426554052
oct21247552720
96002130840
102325665232
11a93860790
1254aa3b100
132b0a90097
14180c2d8d2
15d9290edc
hex8a9ed5d0

2325665232 has 120 divisors (see below), whose sum is σ = 7125981408. Its totient is φ = 702201600.

The previous prime is 2325665203. The next prime is 2325665257.

2325665232 is nontrivially palindromic in base 10.

2325665232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23256652322 = 10817437542667227648, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461607 + ... + 466617.

Almost surely, 22325665232 is an apocalyptic number.

2325665232 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 2325665232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562990704).

2325665232 is an abundant number, since it is smaller than the sum of its proper divisors (4800316176).

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

2325665232 is a wasteful number, since it uses less digits than its factorization.

2325665232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5320 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2325665232 is about 48225.1514461075. The cubic root of 2325665232 is about 1324.8978645848.

It can be divided in two parts, 23256 and 65232, that added together give a palindrome (88488).

The spelling of 2325665232 in words is "two billion, three hundred twenty-five million, six hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 293 396 528 586 792 879 1172 1584 1758 2344 2637 3223 3516 4688 5011 5274 6446 7032 9669 10022 10548 12892 14064 15033 19338 20044 21096 25784 29007 30066 38676 40088 42192 45099 51568 55121 58014 60132 77352 80176 90198 110242 116028 120264 154704 165363 180396 220484 232056 240528 330726 360792 440968 464112 496089 661452 721584 881936 992178 1322904 1468223 1984356 2645808 2936446 3968712 4404669 5872892 7937424 8809338 11745784 13214007 16150453 17618676 23491568 26428014 32300906 35237352 48451359 52856028 64601812 70474704 96902718 105712056 129203624 145354077 193805436 211424112 258407248 290708154 387610872 581416308 775221744 1162832616 2325665232