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2325135540 = 22357132571657
BaseRepresentation
bin1000101010010110…
…1100000010110100
320000001011010100010
42022211230002310
514230213314130
61022415420220
7111422216550
oct21245540264
96001133303
102325135540
11a93529822
1254a824670
132b0935c60
14180b32860
15d91d90b0
hex8a96c0b4

2325135540 has 192 divisors, whose sum is σ = 8048807424. Its totient is φ = 488374272.

The previous prime is 2325135539. The next prime is 2325135541. The reversal of 2325135540 is 455315232.

It is an interprime number because it is at equal distance from previous prime (2325135539) and next prime (2325135541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2325135498 and 2325135507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325135541) 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 63 ways as a sum of consecutive naturals, for example, 1402392 + ... + 1404048.

It is an arithmetic number, because the mean of its divisors is an integer number (41920872).

Almost surely, 22325135540 is an apocalyptic number.

2325135540 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 2325135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024403712).

2325135540 is an abundant number, since it is smaller than the sum of its proper divisors (5723671884).

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

2325135540 is a wasteful number, since it uses less digits than its factorization.

2325135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2325135540 is about 48219.6592688086. The cubic root of 2325135540 is about 1324.7972709889.

The spelling of 2325135540 in words is "two billion, three hundred twenty-five million, one hundred thirty-five thousand, five hundred forty".