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2325516312240 = 24325112333138569
BaseRepresentation
bin100001110101110011100…
…100101101111010110000
322020022120020012211202200
4201311303210231322300
5301100124133442430
64540154421143200
7330004314335322
oct41656344557260
98208506184680
102325516312240
11817278372140
1231684a85ab00
1313b3ab873294
14807ac779612
154075a84a460
hex21d7392deb0

2325516312240 has 480 divisors, whose sum is σ = 8917364252160. Its totient is φ = 537607065600.

The previous prime is 2325516312233. The next prime is 2325516312253. The reversal of 2325516312240 is 422136155232.

2325516312240 is a `hidden beast` number, since 2 + 3 + 2 + 551 + 63 + 1 + 2 + 2 + 40 = 666.

It is a super-2 number, since 2×23255163122402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2325516312195 and 2325516312204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60275676 + ... + 60314244.

It is an arithmetic number, because the mean of its divisors is an integer number (18577842192).

Almost surely, 22325516312240 is an apocalyptic number.

2325516312240 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 2325516312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458682126080).

2325516312240 is an abundant number, since it is smaller than the sum of its proper divisors (6591847939920).

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

2325516312240 is a wasteful number, since it uses less digits than its factorization.

2325516312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38953 (or 38944 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2325516312240 in words is "two trillion, three hundred twenty-five billion, five hundred sixteen million, three hundred twelve thousand, two hundred forty".