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2025301320 = 233457212757
BaseRepresentation
bin111100010110111…
…1010010101001000
312020010221222010000
41320231322111020
513121434120240
6532545123000
7101121530400
oct17055722510
95203858100
102025301320
1194a258949
12486329460
13263795763
14152da3800
15bcc0e430
hex78b7a548

2025301320 has 240 divisors, whose sum is σ = 7919273340. Its totient is φ = 462889728.

The previous prime is 2025301309. The next prime is 2025301339. The reversal of 2025301320 is 231035202.

2025301320 is a `hidden beast` number, since 2 + 0 + 2 + 530 + 132 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2023380324 + 1920996 = 44982^2 + 1386^2 .

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 = 2025301293 and 2025301302.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 152382 + ... + 165138.

Almost surely, 22025301320 is an apocalyptic number.

2025301320 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 2025301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959636670).

2025301320 is an abundant number, since it is smaller than the sum of its proper divisors (5893972020).

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

2025301320 is a wasteful number, since it uses less digits than its factorization.

2025301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12794 (or 12774 counting only the distinct ones).

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

The square root of 2025301320 is about 45003.3478754637. The cubic root of 2025301320 is about 1265.2117462307.

Adding to 2025301320 its reverse (231035202), we get a palindrome (2256336522).

The spelling of 2025301320 in words is "two billion, twenty-five million, three hundred one thousand, three hundred twenty".