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255221280 = 2534547419
BaseRepresentation
bin11110011011001…
…01111000100000
3122210020120210000
433031211320200
51010314040110
641154140000
76216226236
oct1715457040
9583216700
10255221280
1112107a586
1271581600
1340b50112
1425c78956
15176161c0
hexf365e20

255221280 has 240 divisors, whose sum is σ = 922078080. Its totient is φ = 66451968.

The previous prime is 255221279. The next prime is 255221287. The reversal of 255221280 is 82122552.

255221280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255221287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608911 + ... + 609329.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2255221280 is an apocalyptic number.

255221280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

255221280 is an abundant number, since it is smaller than the sum of its proper divisors (666856800).

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

255221280 is a wasteful number, since it uses less digits than its factorization.

255221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 255221280 is about 15975.6464657929. The cubic root of 255221280 is about 634.3159434617.

It can be divided in two parts, 2552 and 21280, that added together give a palindrome (23832).

The spelling of 255221280 in words is "two hundred fifty-five million, two hundred twenty-one thousand, two hundred eighty".