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2255273856 = 2732111719229
BaseRepresentation
bin1000011001101100…
…1011111110000000
312211011200210010100
42012123023332000
514104322230411
61011442202400
7106613340303
oct20633137600
95734623110
102255273856
11a580526a0
1252b353400
1329c315394
14175748b3a
15d2ed9456
hex866cbf80

2255273856 has 576 divisors, whose sum is σ = 8184337200. Its totient is φ = 588349440.

The previous prime is 2255273851. The next prime is 2255273863. The reversal of 2255273856 is 6583725522.

2255273856 is a `hidden beast` number, since 22 + 552 + 73 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255273851) 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, 77768050 + ... + 77768078.

Almost surely, 22255273856 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 2255273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092168600).

2255273856 is an abundant number, since it is smaller than the sum of its proper divisors (5929063344).

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

2255273856 is a wasteful number, since it uses less digits than its factorization.

2255273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2255273856 is about 47489.7236883939. The cubic root of 2255273856 is about 1311.3937065808.

The spelling of 2255273856 in words is "two billion, two hundred fifty-five million, two hundred seventy-three thousand, eight hundred fifty-six".