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2256512980 = 225232213281
BaseRepresentation
bin1000011001111111…
…1010011111010100
312211021000201212211
42012133322133110
514110131403410
61011524523204
7106630021021
oct20637723724
95737021784
102256512980
11a58819667
1252b850504
1329c65a3a7
1417598c548
15d318168a
hex867fa7d4

2256512980 has 36 divisors (see below), whose sum is σ = 4953687732. Its totient is φ = 863357440.

The previous prime is 2256512977. The next prime is 2256512981. The reversal of 2256512980 is 892156522.

It can be written as a sum of positive squares in 2 ways, for example, as 1634908356 + 621604624 = 40434^2 + 24932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256512981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96061 + ... + 117220.

It is an arithmetic number, because the mean of its divisors is an integer number (137602437).

Almost surely, 22256512980 is an apocalyptic number.

2256512980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256512980 is an abundant number, since it is smaller than the sum of its proper divisors (2697174752).

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

2256512980 is a wasteful number, since it uses less digits than its factorization.

2256512980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213336 (or 213311 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 2256512980 is about 47502.7681298680. The cubic root of 2256512980 is about 1311.6338373445.

The spelling of 2256512980 in words is "two billion, two hundred fifty-six million, five hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 10580 213281 426562 853124 1066405 2132810 4265620 4905463 9810926 19621852 24527315 49054630 98109260 112825649 225651298 451302596 564128245 1128256490 2256512980