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216471164 = 227133716073
BaseRepresentation
bin11001110011100…
…01011001111100
3120002022212121112
430321301121330
5420404034124
633251421152
75235655160
oct1471613174
9502285545
10216471164
11101212a98
12605b47b8
1335b03460
1420a6cca0
151400e90e
hexce7167c

216471164 has 48 divisors (see below), whose sum is σ = 478876608. Its totient is φ = 83317248.

The previous prime is 216471131. The next prime is 216471169. The reversal of 216471164 is 461174612.

It is a self number, because there is not a number n which added to its sum of digits gives 216471164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216471169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5432 + ... + 21504.

It is an arithmetic number, because the mean of its divisors is an integer number (9976596).

Almost surely, 2216471164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216471164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239438304).

216471164 is an abundant number, since it is smaller than the sum of its proper divisors (262405444).

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

216471164 is a wasteful number, since it uses less digits than its factorization.

216471164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16132 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 216471164 is about 14712.9590497629. The cubic root of 216471164 is about 600.4359461379.

The spelling of 216471164 in words is "two hundred sixteen million, four hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 13468 16073 32146 64292 112511 208949 225022 417898 450044 594701 835796 1189402 1462643 2378804 2925286 4162907 5850572 7731113 8325814 15462226 16651628 30924452 54117791 108235582 216471164