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2256066450 = 23252111572903
BaseRepresentation
bin1000011001111000…
…1101011110010010
312211020012001100200
42012132031132102
514110023111300
61011511200030
7106623151131
oct20636153622
95736161320
102256066450
11a58544130
1252b676016
1329c532081
141758b3918
15d30e4200
hex8678d792

2256066450 has 144 divisors (see below), whose sum is σ = 6656734656. Its totient is φ = 543254400.

The previous prime is 2256066427. The next prime is 2256066457. The reversal of 2256066450 is 546606522.

2256066450 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 0 + 6 + 645 + 0 = 666.

2256066450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256066457) 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, 775699 + ... + 778601.

It is an arithmetic number, because the mean of its divisors is an integer number (46227324).

Almost surely, 22256066450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256066450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328367328).

2256066450 is an abundant number, since it is smaller than the sum of its proper divisors (4400668206).

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

2256066450 is a wasteful number, since it uses less digits than its factorization.

2256066450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2256066450 is about 47498.0678554402. The cubic root of 2256066450 is about 1311.5473140968.

The spelling of 2256066450 in words is "two billion, two hundred fifty-six million, sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 157 165 198 225 275 314 330 450 471 495 550 785 825 942 990 1413 1570 1650 1727 2355 2475 2826 2903 3454 3925 4710 4950 5181 5806 7065 7850 8635 8709 10362 11775 14130 14515 15543 17270 17418 23550 25905 26127 29030 31086 31933 35325 43175 43545 51810 52254 63866 70650 72575 77715 86350 87090 95799 129525 130635 145150 155430 159665 191598 217725 259050 261270 287397 319330 388575 435450 455771 478995 574794 653175 777150 798325 911542 957990 1306350 1367313 1436985 1596650 2278855 2394975 2734626 2873970 4101939 4557710 4789950 5013481 6836565 7184925 8203878 10026962 11394275 13673130 14369850 15040443 20509695 22788550 25067405 30080886 34182825 41019390 45121329 50134810 68365650 75202215 90242658 102548475 125337025 150404430 205096950 225606645 250674050 376011075 451213290 752022150 1128033225 2256066450