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2284125525 = 3252111754287
BaseRepresentation
bin1000100000100100…
…1111110101010101
312220011222121011200
42020021033311111
514134214004100
61014352423113
7110413514043
oct21011176525
95804877150
102284125525
11a72369350
12538b47a99
132a52a7786
141794d9393
15d57d7e00
hex8824fd55

2284125525 has 72 divisors (see below), whose sum is σ = 4725661824. Its totient is φ = 1042291200.

The previous prime is 2284125523. The next prime is 2284125533. The reversal of 2284125525 is 5255214822.

2284125525 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 125 + 525 = 666.

It is not a de Polignac number, because 2284125525 - 21 = 2284125523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2284125525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284125523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14932 + ... + 69218.

It is an arithmetic number, because the mean of its divisors is an integer number (65634192).

Almost surely, 22284125525 is an apocalyptic number.

2284125525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2284125525 is an abundant number, since it is smaller than the sum of its proper divisors (2441536299).

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

2284125525 is a wasteful number, since it uses less digits than its factorization.

2284125525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54331 (or 54323 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 2284125525 is about 47792.5258277903. The cubic root of 2284125525 is about 1316.9622379398.

The spelling of 2284125525 in words is "two billion, two hundred eighty-four million, one hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 14025 42075 54287 162861 271435 488583 597157 814305 922879 1357175 1791471 2442915 2768637 2985785 4071525 4614395 5374413 8305911 8957355 10151669 12214575 13843185 14928925 23071975 26872065 30455007 41529555 44786775 50758345 69215925 91365021 134360325 152275035 207647775 253791725 456825105 761375175 2284125525