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216240012024 = 2339010000501
BaseRepresentation
bin1100100101100011101…
…0001011101011111000
3202200011010201202220020
43021120322023223320
512020324420341044
6243201141530440
721423425526561
oct3113072135370
9680133652806
10216240012024
1183785938643
1235aaa413a20
1317511a2b84a
14a674c8d168
155959079a19
hex3258e8baf8

216240012024 has 16 divisors (see below), whose sum is σ = 540600030120. Its totient is φ = 72080004000.

The previous prime is 216240012011. The next prime is 216240012049. The reversal of 216240012024 is 420210042612.

It is a happy number.

It is a super-3 number, since 3×2162400120243 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9010000501 = 216240012024 / (2 + 1 + 6 + 2 + 4 + 0 + 0 + 1 + 2 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 216240011985 and 216240012003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4505000227 + ... + 4505000274.

Almost surely, 2216240012024 is an apocalyptic number.

216240012024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216240012024 is an abundant number, since it is smaller than the sum of its proper divisors (324360018096).

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

216240012024 is a wasteful number, since it uses less digits than its factorization.

216240012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010000510 (or 9010000506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 216240012024 its reverse (420210042612), we get a palindrome (636450054636).

The spelling of 216240012024 in words is "two hundred sixteen billion, two hundred forty million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 9010000501 18020001002 27030001503 36040002004 54060003006 72080004008 108120006012 216240012024