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216841240 = 235711233061
BaseRepresentation
bin11001110110010…
…11110000011000
3120010000200021001
430323023300120
5421002404430
633303354344
75242056130
oct1473136030
9503020231
10216841240
11101446040
12607529b4
1335c02a35
1420b27ac0
15140843ca
hexcecbc18

216841240 has 128 divisors (see below), whose sum is σ = 634936320. Its totient is φ = 64627200.

The previous prime is 216841231. The next prime is 216841241. The reversal of 216841240 is 42148612.

216841240 is digitally balanced in base 2, 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 216841199 and 216841208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216841241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69310 + ... + 72370.

It is an arithmetic number, because the mean of its divisors is an integer number (4960440).

Almost surely, 2216841240 is an apocalyptic number.

216841240 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 216841240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317468160).

216841240 is an abundant number, since it is smaller than the sum of its proper divisors (418095080).

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

216841240 is a wasteful number, since it uses less digits than its factorization.

216841240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 216841240 is about 14725.5302111673. The cubic root of 216841240 is about 600.7779168989. Note that the first 3 decimals are identical.

Adding to 216841240 its reverse (42148612), we get a palindrome (258989852).

The spelling of 216841240 in words is "two hundred sixteen million, eight hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3061 3080 3220 3542 5060 6122 6440 7084 8855 10120 12244 14168 15305 17710 21427 24488 30610 33671 35420 42854 61220 67342 70403 70840 85708 107135 122440 134684 140806 168355 171416 214270 235697 269368 281612 336710 352015 428540 471394 492821 563224 673420 704030 774433 857080 942788 985642 1178485 1346840 1408060 1548866 1885576 1971284 2356970 2464105 2816120 3097732 3872165 3942568 4713940 4928210 5421031 6195464 7744330 9427880 9856420 10842062 15488660 19712840 21684124 27105155 30977320 43368248 54210310 108420620 216841240