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241214424 = 233111922531
BaseRepresentation
bin11100110000010…
…10001111011000
3121210212221222120
432120022033120
5443222330144
635534021240
75656201023
oct1630121730
9553787876
10241214424
11114182a70
1268947820
133ac87839
14240701ba
151629ae19
hexe60a3d8

241214424 has 96 divisors (see below), whose sum is σ = 694578240. Its totient is φ = 69220800.

The previous prime is 241214383. The next prime is 241214471. The reversal of 241214424 is 424412142.

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 a junction number, because it is equal to n+sod(n) for n = 241214394 and 241214403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94039 + ... + 96569.

It is an arithmetic number, because the mean of its divisors is an integer number (7235190).

Almost surely, 2241214424 is an apocalyptic number.

241214424 is a gapful number since it is divisible by the number (24) 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 241214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347289120).

241214424 is an abundant number, since it is smaller than the sum of its proper divisors (453363816).

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

241214424 is a wasteful number, since it uses less digits than its factorization.

241214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2566 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 241214424 is about 15531.0792928244. The cubic root of 241214424 is about 622.4929319692.

Adding to 241214424 its reverse (424412142), we get a palindrome (665626566).

It can be divided in two parts, 2412 and 14424, that added together give a triangular number (16836 = T183).

The spelling of 241214424 in words is "two hundred forty-one million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 361 418 456 627 722 836 1083 1254 1444 1672 2166 2508 2531 2888 3971 4332 5016 5062 7593 7942 8664 10124 11913 15186 15884 20248 23826 27841 30372 31768 47652 48089 55682 60744 83523 95304 96178 111364 144267 167046 192356 222728 288534 334092 384712 528979 577068 668184 913691 1057958 1154136 1586937 1827382 2115916 2741073 3173874 3654764 4231832 5482146 6347748 7309528 10050601 10964292 12695496 20101202 21928584 30151803 40202404 60303606 80404808 120607212 241214424