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216989280 = 253555581
BaseRepresentation
bin11001110111011…
…11111001100000
3120010022012100000
430323233321200
5421022124110
633310500000
75243243544
oct1473577140
9503265300
10216989280
11101537292
1260804600
1335c55231
1420b65a24
15140b31c0
hexceefe60

216989280 has 144 divisors (see below), whose sum is σ = 768038544. Its totient is φ = 57853440.

The previous prime is 216989273. The next prime is 216989287. The reversal of 216989280 is 82989612.

It is an interprime number because it is at equal distance from previous prime (216989273) and next prime (216989287).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216989287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36090 + ... + 41670.

It is an arithmetic number, because the mean of its divisors is an integer number (5333601).

Almost surely, 2216989280 is an apocalyptic number.

216989280 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 216989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384019272).

216989280 is an abundant number, since it is smaller than the sum of its proper divisors (551049264).

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

216989280 is an equidigital number, since it uses as much as digits as its factorization.

216989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 216989280 is about 14730.5559976533. Note that the first 3 decimals coincide. The cubic root of 216989280 is about 600.9146051207.

The spelling of 216989280 in words is "two hundred sixteen million, nine hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 5581 6480 7776 9720 11162 12960 16743 19440 22324 27905 33486 38880 44648 50229 55810 66972 83715 89296 100458 111620 133944 150687 167430 178592 200916 223240 251145 267888 301374 334860 401832 446480 452061 502290 535776 602748 669720 753435 803664 892960 904122 1004580 1205496 1339440 1356183 1506870 1607328 1808244 2009160 2260305 2410992 2678880 2712366 3013740 3616488 4018320 4520610 4821984 5424732 6027480 6780915 7232976 8036640 9041220 10849464 12054960 13561830 14465952 18082440 21698928 24109920 27123660 36164880 43397856 54247320 72329760 108494640 216989280