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2253017256 = 2337223312687
BaseRepresentation
bin1000011001001010…
…0101000010101000
312211000110010122120
42012102211002220
514103233023011
61011321551240
7106555221300
oct20622450250
95730403576
102253017256
11a56851236
1252a645520
1329ba05209
1417531c600
15d2be0a06
hex864a50a8

2253017256 has 192 divisors, whose sum is σ = 7060193280. Its totient is φ = 595647360.

The previous prime is 2253017251. The next prime is 2253017309. The reversal of 2253017256 is 6527103522.

It is not an unprimeable number, because it can be changed into a prime (2253017251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837145 + ... + 839831.

It is an arithmetic number, because the mean of its divisors is an integer number (36771840).

Almost surely, 22253017256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253017256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2253017256 is an abundant number, since it is smaller than the sum of its proper divisors (4807176024).

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

2253017256 is a wasteful number, since it uses less digits than its factorization.

2253017256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2253017256 is about 47465.9589179446. The cubic root of 2253017256 is about 1310.9561723408.

The spelling of 2253017256 in words is "two billion, two hundred fifty-three million, seventeen thousand, two hundred fifty-six".