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414002214 = 23223000123
BaseRepresentation
bin11000101011010…
…010110000100110
31001212000111021100
4120223102300212
51321441032324
6105025300530
713154650353
oct3053226046
91055014240
10414002214
111a2769a9a
12b6794746
1367a04a32
143cdab62a
152652c4c9
hex18ad2c26

414002214 has 12 divisors (see below), whose sum is σ = 897004836. Its totient is φ = 138000732.

The previous prime is 414002209. The next prime is 414002221. The reversal of 414002214 is 412200414.

414002214 is a `hidden beast` number, since 41 + 400 + 221 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23000123 = 414002214 / (4 + 1 + 4 + 0 + 0 + 2 + 2 + 1 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11500044 + ... + 11500079.

It is an arithmetic number, because the mean of its divisors is an integer number (74750403).

Almost surely, 2414002214 is an apocalyptic number.

414002214 is an abundant number, since it is smaller than the sum of its proper divisors (483002622).

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

414002214 is a wasteful number, since it uses less digits than its factorization.

414002214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23000131 (or 23000128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414002214 is about 20347.0443553849. The cubic root of 414002214 is about 745.3053199551.

Adding to 414002214 its reverse (412200414), we get a palindrome (826202628).

The spelling of 414002214 in words is "four hundred fourteen million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23000123 46000246 69000369 138000738 207001107 414002214