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241245216 = 2534163571
BaseRepresentation
bin11100110000100…
…01110000100000
3121210221112020000
432120101300200
5443224321331
635534420000
75656356552
oct1630216040
9553845200
10241245216
111141a4113
1268961600
133ac98864
142407b4d2
15162a50e6
hexe611c20

241245216 has 120 divisors (see below), whose sum is σ = 715098384. Its totient is φ = 79781760.

The previous prime is 241245211. The next prime is 241245239. The reversal of 241245216 is 612542142.

241245216 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 241245216.

It is not an unprimeable number, because it can be changed into a prime (241245211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422211 + ... + 422781.

Almost surely, 2241245216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357549192).

241245216 is an abundant number, since it is smaller than the sum of its proper divisors (473853168).

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

241245216 is a wasteful number, since it uses less digits than its factorization.

241245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 739 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 241245216 is about 15532.0705638366. The cubic root of 241245216 is about 622.5194187584.

Adding to 241245216 its reverse (612542142), we get a palindrome (853787358).

The spelling of 241245216 in words is "two hundred forty-one million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 571 648 652 864 978 1142 1296 1304 1467 1713 1956 2284 2592 2608 2934 3426 3912 4401 4568 5139 5216 5868 6852 7824 8802 9136 10278 11736 13203 13704 15417 15648 17604 18272 20556 23472 26406 27408 30834 35208 41112 46251 46944 52812 54816 61668 70416 82224 92502 93073 105624 123336 140832 164448 185004 186146 211248 246672 279219 370008 372292 422496 493344 558438 740016 744584 837657 1116876 1480032 1489168 1675314 2233752 2512971 2978336 3350628 4467504 5025942 6701256 7538913 8935008 10051884 13402512 15077826 20103768 26805024 30155652 40207536 60311304 80415072 120622608 241245216