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214086264 = 23371274323
BaseRepresentation
bin11001100001010…
…11001001111000
3112220211201010220
430300223021320
5414301230024
633124340040
75206463130
oct1460531170
9486751126
10214086264
11aa9341a7
125b844620
1335479a82
142060bac0
1513bdce79
hexcc2b278

214086264 has 32 divisors (see below), whose sum is σ = 611675520. Its totient is φ = 61167456.

The previous prime is 214086263. The next prime is 214086283. The reversal of 214086264 is 462680412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214086263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636994 + ... + 637329.

It is an arithmetic number, because the mean of its divisors is an integer number (19114860).

Almost surely, 2214086264 is an apocalyptic number.

214086264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214086264 is an abundant number, since it is smaller than the sum of its proper divisors (397589256).

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

214086264 is a wasteful number, since it uses less digits than its factorization.

214086264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274339 (or 1274335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 214086264 is about 14631.6869840767. The cubic root of 214086264 is about 598.2227631351. Note that the first 3 decimals are identical.

It can be divided in two parts, 21408 and 6264, that added together give a palindrome (27672).

The spelling of 214086264 in words is "two hundred fourteen million, eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1274323 2548646 3822969 5097292 7645938 8920261 10194584 15291876 17840522 26760783 30583752 35681044 53521566 71362088 107043132 214086264