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216018240 = 2635435233
BaseRepresentation
bin11001110000000…
…10110101000000
3120001110212022120
430320002311000
5420300040430
633234004240
75232060534
oct1470026500
9501425276
10216018240
11100a33779
1260416680
13359a5259
1420991bc4
1513e70610
hexce02d40

216018240 has 112 divisors (see below), whose sum is σ = 701942208. Its totient is φ = 56254464.

The previous prime is 216018233. The next prime is 216018241. The reversal of 216018240 is 42810612.

216018240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216018240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216018241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38664 + ... + 43896.

Almost surely, 2216018240 is an apocalyptic number.

216018240 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 216018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350971104).

216018240 is an abundant number, since it is smaller than the sum of its proper divisors (485923968).

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

216018240 is a wasteful number, since it uses less digits than its factorization.

216018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216018240 is about 14697.5589810009. The cubic root of 216018240 is about 600.0168884135.

Adding to 216018240 its reverse (42810612), we get a palindrome (258828852).

The spelling of 216018240 in words is "two hundred sixteen million, eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 5233 6880 8256 10320 10466 13760 15699 20640 20932 26165 31398 41280 41864 52330 62796 78495 83728 104660 125592 156990 167456 209320 225019 251184 313980 334912 418640 450038 502368 627960 675057 837280 900076 1004736 1125095 1255920 1350114 1674560 1800152 2250190 2511840 2700228 3375285 3600304 4500380 5023680 5400456 6750570 7200608 9000760 10800912 13501140 14401216 18001520 21601824 27002280 36003040 43203648 54004560 72006080 108009120 216018240