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216144414 = 23213279049
BaseRepresentation
bin11001110001000…
…01101000011110
3120001201021101200
430320201220132
5420313110124
633240420330
75233124433
oct1470415036
9501637350
10216144414
1110100a552
12604776a6
1335a1a805
14209c5b8a
1513e97bc9
hexce21a1e

216144414 has 24 divisors (see below), whose sum is σ = 468717600. Its totient is φ = 71985888.

The previous prime is 216144373. The next prime is 216144419. The reversal of 216144414 is 414441612.

216144414 is a `hidden beast` number, since 2 + 1 + 614 + 4 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216144419) 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 11 ways as a sum of consecutive naturals, for example, 19362 + ... + 28410.

It is an arithmetic number, because the mean of its divisors is an integer number (19529900).

Almost surely, 2216144414 is an apocalyptic number.

216144414 is an abundant number, since it is smaller than the sum of its proper divisors (252573186).

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

216144414 is a wasteful number, since it uses less digits than its factorization.

216144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10381 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 216144414 is about 14701.8506998269. The cubic root of 216144414 is about 600.1336868775.

The spelling of 216144414 in words is "two hundred sixteen million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 1327 2654 3981 7962 9049 11943 18098 23886 27147 54294 81441 162882 12008023 24016046 36024069 72048138 108072207 216144414