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216163020 = 223559227269
BaseRepresentation
bin11001110001001…
…10001011001100
3120001202012220210
430320212023030
5420314204040
633241042420
75233232613
oct1470461314
9501665823
10216163020
11101022527
1260486410
1335a26118
14209cc87a
1513e9d480
hexce262cc

216163020 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 56207104.

The previous prime is 216163009. The next prime is 216163033. The reversal of 216163020 is 20361612.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 803446 + ... + 803714.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2216163020 is an apocalyptic number.

216163020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216163020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

216163020 is an abundant number, since it is smaller than the sum of its proper divisors (404361780).

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

216163020 is a wasteful number, since it uses less digits than its factorization.

216163020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 216163020 is about 14702.4834636874. The cubic root of 216163020 is about 600.1509064866.

The spelling of 216163020 in words is "two hundred sixteen million, one hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 227 236 269 295 354 454 538 590 681 708 807 885 908 1076 1135 1180 1345 1362 1614 1770 2270 2690 2724 3228 3405 3540 4035 4540 5380 6810 8070 13393 13620 15871 16140 26786 31742 40179 47613 53572 61063 63484 66965 79355 80358 95226 122126 133930 158710 160716 183189 190452 200895 238065 244252 267860 305315 317420 366378 401790 476130 610630 732756 803580 915945 952260 1221260 1831890 3602717 3663780 7205434 10808151 14410868 18013585 21616302 36027170 43232604 54040755 72054340 108081510 216163020