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2155872256 = 223257
BaseRepresentation
bin1000000010000000…
…0000000000000000
312120020122122202121
42000200000000000
513403400403011
6553531454024
7104265416566
oct20040000000
95506578677
102155872256
11a06a2a80a
12501bb7314
13284851075
14166471a36
15c9401e71
hex80800000

2155872256 has 48 divisors (see below), whose sum is σ = 4328521470. Its totient is φ = 1073741824.

The previous prime is 2155872233. The next prime is 2155872283. The reversal of 2155872256 is 6522785512.

It can be written as a sum of positive squares in only one way, i.e., 1212153856 + 943718400 = 34816^2 + 30720^2 .

It is a super-3 number, since 3×21558722563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2155872256 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8388480 + ... + 8388736.

Almost surely, 22155872256 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 2155872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164260735).

2155872256 is an abundant number, since it is smaller than the sum of its proper divisors (2172649214).

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

2155872256 is an frugal number, since it uses more digits than its factorization.

2155872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 259 counting only the distinct ones).

The product of its digits is 336000, while the sum is 43.

The square root of 2155872256 is about 46431.3714636990. The cubic root of 2155872256 is about 1291.8368671972.

The spelling of 2155872256 in words is "two billion, one hundred fifty-five million, eight hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8192 8224 16384 16448 32768 32896 65536 65792 131072 131584 262144 263168 524288 526336 1048576 1052672 2097152 2105344 4194304 4210688 8388608 8421376 16842752 33685504 67371008 134742016 269484032 538968064 1077936128 2155872256