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214728460 = 22523466801
BaseRepresentation
bin11001100110001…
…11111100001100
3112222001100001221
430303013330030
5414432302320
633150213124
75215106332
oct1463077414
9488040057
10214728460
11100232741
125bab41a4
133564317b
1420737b52
1513cb83aa
hexccc7f0c

214728460 has 24 divisors (see below), whose sum is σ = 470536416. Its totient is φ = 82156800.

The previous prime is 214728421. The next prime is 214728463. The reversal of 214728460 is 64827412.

It is a happy number.

214728460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147284602 = 92216623067943200, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (214728463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232941 + ... + 233860.

It is an arithmetic number, because the mean of its divisors is an integer number (19605684).

Almost surely, 2214728460 is an apocalyptic number.

214728460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214728460 is an abundant number, since it is smaller than the sum of its proper divisors (255807956).

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

214728460 is a wasteful number, since it uses less digits than its factorization.

214728460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466833 (or 466831 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 214728460 is about 14653.6159360071. The cubic root of 214728460 is about 598.8203303005.

The spelling of 214728460 in words is "two hundred fourteen million, seven hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 466801 933602 1867204 2334005 4668010 9336020 10736423 21472846 42945692 53682115 107364230 214728460