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41430224 = 24111761227
BaseRepresentation
bin1001111000001…
…0110011010000
32212221212120202
42132002303100
541101231344
64035554332
71012102553
oct236026320
985855522
1041430224
1121428160
1211a5b9a8
138777834
14570669a
15398594e
hex2782cd0

41430224 has 80 divisors (see below), whose sum is σ = 94654656. Its totient is φ = 17356800.

The previous prime is 41430211. The next prime is 41430227. The reversal of 41430224 is 42203414.

It is a junction number, because it is equal to n+sod(n) for n = 41430196 and 41430205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182399 + ... + 182625.

Almost surely, 241430224 is an apocalyptic number.

41430224 is a gapful number since it is divisible by the number (44) 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 41430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327328).

41430224 is an abundant number, since it is smaller than the sum of its proper divisors (53224432).

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

41430224 is a wasteful number, since it uses less digits than its factorization.

41430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 41430224 is about 6436.6314171312. The cubic root of 41430224 is about 346.0236320968.

Adding to 41430224 its reverse (42203414), we get a palindrome (83633638).

The spelling of 41430224 in words is "forty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 61 68 88 122 136 176 187 227 244 272 374 454 488 671 748 908 976 1037 1342 1496 1816 2074 2497 2684 2992 3632 3859 4148 4994 5368 7718 8296 9988 10736 11407 13847 15436 16592 19976 22814 27694 30872 39952 42449 45628 55388 61744 84898 91256 110776 152317 169796 182512 221552 235399 304634 339592 470798 609268 679184 941596 1218536 1883192 2437072 2589389 3766384 5178778 10357556 20715112 41430224