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2810428225 = 5211193117351
BaseRepresentation
bin1010011110000011…
…1011101101000001
321020212022112202021
42213200323231001
521223432200400
61142513121441
7126434150203
oct24740735501
97225275667
102810428225
111212460360
12665259281
1335a33b9a7
141c937a773
15116ae971a
hexa783bb41

2810428225 has 48 divisors (see below), whose sum is σ = 4131164160. Its totient is φ = 1873800000.

The previous prime is 2810428217. The next prime is 2810428237. The reversal of 2810428225 is 5228240182.

2810428225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2810428225 - 23 = 2810428217 is a prime.

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, 153300 + ... + 170650.

It is an arithmetic number, because the mean of its divisors is an integer number (86065920).

Almost surely, 22810428225 is an apocalyptic number.

2810428225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2810428225 is a deficient number, since it is larger than the sum of its proper divisors (1320735935).

2810428225 is a wasteful number, since it uses less digits than its factorization.

2810428225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17422 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2810428225 is about 53013.4721085122. The cubic root of 2810428225 is about 1411.2073599739.

The spelling of 2810428225 in words is "two billion, eight hundred ten million, four hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 31 55 95 155 209 275 341 475 589 775 1045 1705 2945 5225 6479 8525 14725 17351 32395 86755 161975 190861 329669 433775 537881 954305 1648345 2689405 3626359 4771525 5916691 8241725 10219739 13447025 18131795 29583455 51098695 90658975 112417129 147917275 255493475 562085645 2810428225