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214194288 = 243721117487
BaseRepresentation
bin11001100010001…
…01100001110000
3112221001012022210
430301011201300
5414313204123
633130532120
75210423100
oct1461054160
9487035283
10214194288
11aa9a8380
125b897040
13354b6ca9
1420639200
1513c0ee93
hexcc45870

214194288 has 240 divisors, whose sum is σ = 745023744. Its totient is φ = 52254720.

The previous prime is 214194287. The next prime is 214194289. The reversal of 214194288 is 882491412.

It is an interprime number because it is at equal distance from previous prime (214194287) and next prime (214194289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214194287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439581 + ... + 440067.

Almost surely, 2214194288 is an apocalyptic number.

214194288 is a gapful number since it is divisible by the number (28) 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 214194288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372511872).

214194288 is an abundant number, since it is smaller than the sum of its proper divisors (530829456).

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

214194288 is a wasteful number, since it uses less digits than its factorization.

214194288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 214194288 is about 14635.3779589049. The cubic root of 214194288 is about 598.3233636260.

The spelling of 214194288 in words is "two hundred fourteen million, one hundred ninety-four thousand, two hundred eighty-eight".