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216721920 = 293528219
BaseRepresentation
bin11001110101011…
…10101000000000
3120002210121120210
430322232220000
5420440100140
633301034120
75241051222
oct1472565000
9502717523
10216721920
11101374428
12606b5940
1335b9062c
1420ad6412
151405dd80
hexceaea00

216721920 has 80 divisors (see below), whose sum is σ = 692857440. Its totient is φ = 57790464.

The previous prime is 216721907. The next prime is 216721943. The reversal of 216721920 is 29127612.

216721920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6430 + ... + 21789.

It is an arithmetic number, because the mean of its divisors is an integer number (8660718).

Almost surely, 2216721920 is an apocalyptic number.

216721920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216721920 is an abundant number, since it is smaller than the sum of its proper divisors (476135520).

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

216721920 is an equidigital number, since it uses as much as digits as its factorization.

216721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 216721920 is about 14721.4781866496. The cubic root of 216721920 is about 600.6677011275.

The spelling of 216721920 in words is "two hundred sixteen million, seven hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 28219 56438 84657 112876 141095 169314 225752 282190 338628 423285 451504 564380 677256 846570 903008 1128760 1354512 1693140 1806016 2257520 2709024 3386280 3612032 4515040 5418048 6772560 7224064 9030080 10836096 13545120 14448128 18060160 21672192 27090240 36120320 43344384 54180480 72240640 108360960 216721920