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2025310320 = 24325111943313
BaseRepresentation
bin111100010110111…
…1100100001110000
312020010222102110100
41320231330201300
513121434412240
6532545232400
7101121565545
oct17055744160
95203872410
102025310320
1194a264690
12486332700
13263799897
14152da6bcc
15bcc11e30
hex78b7c870

2025310320 has 480 divisors, whose sum is σ = 8017701120. Its totient is φ = 452874240.

The previous prime is 2025310289. The next prime is 2025310373. The reversal of 2025310320 is 230135202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2025310293 and 2025310302.

It is a congruent number.

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, 6470484 + ... + 6470796.

It is an arithmetic number, because the mean of its divisors is an integer number (16703544).

Almost surely, 22025310320 is an apocalyptic number.

2025310320 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 2025310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008850560).

2025310320 is an abundant number, since it is smaller than the sum of its proper divisors (5992390800).

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

2025310320 is a wasteful number, since it uses less digits than its factorization.

2025310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2025310320 is about 45003.4478679134. The cubic root of 2025310320 is about 1265.2136203368.

Adding to 2025310320 its reverse (230135202), we get a palindrome (2255445522).

The spelling of 2025310320 in words is "two billion, twenty-five million, three hundred ten thousand, three hundred twenty".