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214928280 = 2332571729173
BaseRepresentation
bin11001100111110…
…00101110011000
3112222102111011200
430303320232120
5420010201110
633154354200
75216601030
oct1463705630
9488374150
10214928280
11100359886
125bb8b960
13356b30c8
142078a8c0
1513d076c0
hexccf8b98

214928280 has 384 divisors, whose sum is σ = 879465600. Its totient is φ = 44384256.

The previous prime is 214928249. The next prime is 214928281. The reversal of 214928280 is 82829412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214928281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242274 + ... + 1242446.

It is an arithmetic number, because the mean of its divisors is an integer number (2290275).

Almost surely, 2214928280 is an apocalyptic number.

214928280 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 214928280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439732800).

214928280 is an abundant number, since it is smaller than the sum of its proper divisors (664537320).

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

214928280 is a wasteful number, since it uses less digits than its factorization.

214928280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214928280 is about 14660.4324629255. The cubic root of 214928280 is about 599.0060209186.

The spelling of 214928280 in words is "two hundred fourteen million, nine hundred twenty-eight thousand, two hundred eighty".