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2325818880 = 293357111923
BaseRepresentation
bin1000101010100001…
…0010111000000000
320000002102211201000
42022220102320000
514230402201010
61022442212000
7111431064030
oct21250227000
96002384630
102325818880
11a93956170
1254aab4000
132b0b14cb8
14180c6d8c0
15d92c17c0
hex8aa12e00

2325818880 has 1280 divisors, whose sum is σ = 11313561600. Its totient is φ = 437944320.

The previous prime is 2325818851. The next prime is 2325818947. The reversal of 2325818880 is 888185232.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101122549 + ... + 101122571.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 22325818880 is an apocalyptic number.

2325818880 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 2325818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656780800).

2325818880 is an abundant number, since it is smaller than the sum of its proper divisors (8987742720).

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

2325818880 is a wasteful number, since it uses less digits than its factorization.

2325818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2325818880 is about 48226.7444474536. The cubic root of 2325818880 is about 1324.9270409572.

The spelling of 2325818880 in words is "two billion, three hundred twenty-five million, eight hundred eighteen thousand, eight hundred eighty".