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2325984880 = 245174736389
BaseRepresentation
bin1000101010100011…
…1011011001110000
320000002202021102011
42022220323121300
514230423004010
61022445532304
7111432355012
oct21250733160
96002667364
102325984880
11a93a5995a
1254ab74094
132b0b7271b
14180cb41b2
15d9305a8a
hex8aa3b670

2325984880 has 80 divisors (see below), whose sum is σ = 5848018560. Its totient is φ = 857010176.

The previous prime is 2325984877. The next prime is 2325984937. The reversal of 2325984880 is 884895232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23259848802 = 10820411323977228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45726 + ... + 82114.

It is an arithmetic number, because the mean of its divisors is an integer number (73100232).

Almost surely, 22325984880 is an apocalyptic number.

2325984880 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 2325984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924009280).

2325984880 is an abundant number, since it is smaller than the sum of its proper divisors (3522033680).

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

2325984880 is a wasteful number, since it uses less digits than its factorization.

2325984880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36466 (or 36460 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 2325984880 is about 48228.4654535058. The cubic root of 2325984880 is about 1324.9585614191.

The spelling of 2325984880 in words is "two billion, three hundred twenty-five million, nine hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 15980 31960 36389 63920 72778 145556 181945 291112 363890 582224 618613 727780 1237226 1455560 1710283 2474452 2911120 3093065 3420566 4948904 6186130 6841132 8551415 9897808 12372260 13682264 17102830 24744520 27364528 29074811 34205660 49489040 58149622 68411320 116299244 136822640 145374055 232598488 290748110 465196976 581496220 1162992440 2325984880