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214041400 = 23521070207
BaseRepresentation
bin11001100001000…
…00001100111000
3112220202102121021
430300200030320
5414243311100
633123352224
75206215256
oct1460401470
9486672537
10214041400
11aa903521
125b822674
1335462521
14205d95d6
1513bcea1a
hexcc20338

214041400 has 24 divisors (see below), whose sum is σ = 497646720. Its totient is φ = 85616480.

The previous prime is 214041389. The next prime is 214041413. The reversal of 214041400 is 4140412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 534904 + ... + 535303.

It is an arithmetic number, because the mean of its divisors is an integer number (20735280).

Almost surely, 2214041400 is an apocalyptic number.

214041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214041400 is an abundant number, since it is smaller than the sum of its proper divisors (283605320).

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

214041400 is a wasteful number, since it uses less digits than its factorization.

214041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070223 (or 1070214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214041400 is about 14630.1537927665. The cubic root of 214041400 is about 598.1809722848.

Adding to 214041400 its reverse (4140412), we get a palindrome (218181812).

The spelling of 214041400 in words is "two hundred fourteen million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1070207 2140414 4280828 5351035 8561656 10702070 21404140 26755175 42808280 53510350 107020700 214041400