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241314216 = 233111370313
BaseRepresentation
bin11100110001000…
…10100110101000
3121211002000212120
432120202212220
5443234023331
635540111240
75660064663
oct1630424650
9554060776
10241314216
11114240a40
1268995520
133acc10a0
14240986da
15162ba796
hexe6229a8

241314216 has 64 divisors (see below), whose sum is σ = 708765120. Its totient is φ = 67499520.

The previous prime is 241314209. The next prime is 241314217. The reversal of 241314216 is 612413142.

241314216 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (241314217) 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, 31725 + ... + 38588.

It is an arithmetic number, because the mean of its divisors is an integer number (11074455).

Almost surely, 2241314216 is an apocalyptic number.

241314216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

241314216 is an abundant number, since it is smaller than the sum of its proper divisors (467450904).

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

241314216 is a wasteful number, since it uses less digits than its factorization.

241314216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70346 (or 70342 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 241314216 is about 15534.2916156483. The cubic root of 241314216 is about 622.5787632795.

Adding to 241314216 its reverse (612413142), we get a palindrome (853727358).

The spelling of 241314216 in words is "two hundred forty-one million, three hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 70313 140626 210939 281252 421878 562504 773443 843756 914069 1546886 1687512 1828138 2320329 2742207 3093772 3656276 4640658 5484414 6187544 7312552 9281316 10054759 10968828 18562632 20109518 21937656 30164277 40219036 60328554 80438072 120657108 241314216