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214818260 = 22510740913
BaseRepresentation
bin11001100110111…
…01110111010100
3112222012220020212
430303131313110
5414443141020
633152144552
75215632206
oct1463356724
9488186225
10214818260
11100294158
125bb38158
1335674cc7
142075c776
1513cd4cc5
hexccdddd4

214818260 has 12 divisors (see below), whose sum is σ = 451118388. Its totient is φ = 85927296.

The previous prime is 214818257. The next prime is 214818269. The reversal of 214818260 is 62818412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127283524 + 87534736 = 11282^2 + 9356^2 .

It is a super-2 number, since 2×2148182602 = 92293769658855200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214818269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5370437 + ... + 5370476.

It is an arithmetic number, because the mean of its divisors is an integer number (37593199).

Almost surely, 2214818260 is an apocalyptic number.

214818260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214818260 is an abundant number, since it is smaller than the sum of its proper divisors (236300128).

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

214818260 is a wasteful number, since it uses less digits than its factorization.

214818260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740922 (or 10740920 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 214818260 is about 14656.6797058543. The cubic root of 214818260 is about 598.9037947394.

The spelling of 214818260 in words is "two hundred fourteen million, eight hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 10740913 21481826 42963652 53704565 107409130 214818260