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216118080 = 2632575041
BaseRepresentation
bin11001110000110…
…11001101000000
3120001122221021100
430320123031000
5420311234310
633240054400
75232654603
oct1470331500
9501587240
10216118080
11100aa1792
1260464400
1335a0b829
14209ba33a
1513e8eec0
hexce1b340

216118080 has 84 divisors (see below), whose sum is σ = 743366052. Its totient is φ = 57630720.

The previous prime is 216118061. The next prime is 216118099. The reversal of 216118080 is 80811612.

216118080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216118061) and next prime (216118099).

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 70963776 = 12048^2 + 8424^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34641 + ... + 40400.

Almost surely, 2216118080 is an apocalyptic number.

216118080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216118080 is an abundant number, since it is smaller than the sum of its proper divisors (527247972).

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

216118080 is a wasteful number, since it uses less digits than its factorization.

216118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75064 (or 75051 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 216118080 is about 14700.9550710149. The cubic root of 216118080 is about 600.1093134164.

Adding to 216118080 its reverse (80811612), we get a palindrome (296929692).

The spelling of 216118080 in words is "two hundred sixteen million, one hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 75041 150082 225123 300164 375205 450246 600328 675369 750410 900492 1125615 1200656 1350738 1500820 1800984 2251230 2401312 2701476 3001640 3376845 3601968 4502460 4802624 5402952 6003280 6753690 7203936 9004920 10805904 12006560 13507380 14407872 18009840 21611808 24013120 27014760 36019680 43223616 54029520 72039360 108059040 216118080