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216407166 = 23136126501
BaseRepresentation
bin11001110011000…
…01110001111110
3120002012121211020
430321201301332
5420400012131
633250205010
75235300453
oct1471416176
9502177736
10216407166
111011799a8
1260583766
1335ab02a1
1420a5382a
1513eea996
hexce61c7e

216407166 has 16 divisors (see below), whose sum is σ = 433148688. Its totient is φ = 72080000.

The previous prime is 216407159. The next prime is 216407167. The reversal of 216407166 is 661704612.

216407166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2164071662 = 93664122992303112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216407167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5085 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (27071793).

Almost surely, 2216407166 is an apocalyptic number.

216407166 is an abundant number, since it is smaller than the sum of its proper divisors (216741522).

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

216407166 is a wasteful number, since it uses less digits than its factorization.

216407166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27867.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 216407166 is about 14710.7840035805. The cubic root of 216407166 is about 600.3767689147.

The spelling of 216407166 in words is "two hundred sixteen million, four hundred seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 1361 2722 4083 8166 26501 53002 79503 159006 36067861 72135722 108203583 216407166