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216980316 = 223371716883
BaseRepresentation
bin11001110111011…
…01101101011100
3120010021202001000
430323231231130
5421021332231
633310350300
75243205450
oct1473555534
9503252030
10216980316
11101530583
12607bb390
1335c51127
1420b62660
15140b06e6
hexceedb5c

216980316 has 96 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 58344192.

The previous prime is 216980311. The next prime is 216980317. The reversal of 216980316 is 613089612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216980311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (7091280).

Almost surely, 2216980316 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 216980316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

216980316 is an abundant number, since it is smaller than the sum of its proper divisors (463782564).

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

216980316 is a wasteful number, since it uses less digits than its factorization.

216980316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 16912 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 216980316 is about 14730.2517290099. The cubic root of 216980316 is about 600.9063302531.

The spelling of 216980316 in words is "two hundred sixteen million, nine hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 16883 33766 50649 67532 101298 118181 151947 202596 236362 287011 303894 354543 455841 472724 574022 607788 709086 861033 911682 1063629 1148044 1418172 1722066 1823364 2009077 2127258 2583099 3190887 3444132 4018154 4254516 5166198 6027231 6381774 7749297 8036308 10332396 12054462 12763548 15498594 18081693 24108924 30997188 36163386 54245079 72326772 108490158 216980316