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216420414 = 23714934583
BaseRepresentation
bin11001110011001…
…01000000111110
3120002020021222220
430321211000332
5420400423124
633250350210
75235354210
oct1471450076
9502207886
10216420414
11101188951
126058b366
1335ab6322
1420a585b0
1513eee879
hexce6503e

216420414 has 32 divisors (see below), whose sum is σ = 498009600. Its totient is φ = 61417632.

The previous prime is 216420403. The next prime is 216420461. The reversal of 216420414 is 414024612.

It is a happy number.

216420414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11034 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (15562800).

Almost surely, 2216420414 is an apocalyptic number.

216420414 is an abundant number, since it is smaller than the sum of its proper divisors (281589186).

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

216420414 is a wasteful number, since it uses less digits than its factorization.

216420414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34744.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 216420414 is about 14711.2342786049. The cubic root of 216420414 is about 600.3890199402.

It can be divided in two parts, 2164 and 20414, that added together give a triangular number (22578 = T212).

The spelling of 216420414 in words is "two hundred sixteen million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 149 298 447 894 1043 2086 3129 6258 34583 69166 103749 207498 242081 484162 726243 1452486 5152867 10305734 15458601 30917202 36070069 72140138 108210207 216420414