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2085724225 = 521329375981
BaseRepresentation
bin111110001010001…
…1010000001000001
312101100122202202101
41330110122001001
513232421133400
6542544150401
7102454235434
oct17424320101
95340582671
102085724225
11980378532
124a2608401
13273160060
1415b01181b
15c319756a
hex7c51a041

2085724225 has 48 divisors (see below), whose sum is σ = 2959654320. Its totient is φ = 1446681600.

The previous prime is 2085724189. The next prime is 2085724231. The reversal of 2085724225 is 5224275802.

It can be written as a sum of positive squares in 24 ways, for example, as 1802172304 + 283551921 = 42452^2 + 16839^2 .

It is not a de Polignac number, because 2085724225 - 27 = 2085724097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345735 + ... + 351715.

It is an arithmetic number, because the mean of its divisors is an integer number (61659465).

Almost surely, 22085724225 is an apocalyptic number.

2085724225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2085724225 is a deficient number, since it is larger than the sum of its proper divisors (873930095).

2085724225 is a wasteful number, since it uses less digits than its factorization.

2085724225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 2085724225 is about 45669.7298546860. The cubic root of 2085724225 is about 1277.6707772965.

The spelling of 2085724225 in words is "two billion, eighty-five million, seven hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 37 65 145 185 325 377 481 725 925 1073 1885 2405 5365 5981 9425 12025 13949 26825 29905 69745 77753 149525 173449 221297 348725 388765 867245 1106485 1943825 2254837 2876861 4336225 5532425 6417613 11274185 14384305 32088065 56370925 71921525 83428969 160440325 417144845 2085724225