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214856928 = 253311133747
BaseRepresentation
bin11001100111001…
…11010011100000
3112222021212022000
430303213103200
5420000410203
633153044000
75216153016
oct1463472340
9488255260
10214856928
11100310210
125bb56600
13356897a0
142076c8b6
1513ce14a3
hexcce74e0

214856928 has 384 divisors, whose sum is σ = 772208640. Its totient is φ = 57231360.

The previous prime is 214856927. The next prime is 214856951. The reversal of 214856928 is 829658412.

214856928 is a `hidden beast` number, since 21 + 48 + 569 + 28 = 666.

214856928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214856923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571401 + ... + 4571447.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2214856928 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 214856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

214856928 is an abundant number, since it is smaller than the sum of its proper divisors (557351712).

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

214856928 is a wasteful number, since it uses less digits than its factorization.

214856928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 214856928 is about 14657.9987720016. The cubic root of 214856928 is about 598.9397274739.

The spelling of 214856928 in words is "two hundred fourteen million, eight hundred fifty-six thousand, nine hundred twenty-eight".