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24242166 = 236131279
BaseRepresentation
bin101110001111…
…0011111110110
31200121122000000
41130132133312
522201222131
62223332130
7413024604
oct134363766
950548000
1024242166
1112758553
128151046
13503a2a0
143310874
1521dcce6
hex171e7f6

24242166 has 56 divisors (see below), whose sum is σ = 58759680. Its totient is φ = 7453296.

The previous prime is 24242159. The next prime is 24242167. The reversal of 24242166 is 66124242.

It is a super-3 number, since 3×242421663 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24242167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18315 + ... + 19593.

It is an arithmetic number, because the mean of its divisors is an integer number (1049280).

Almost surely, 224242166 is an apocalyptic number.

24242166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24242166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379840).

24242166 is an abundant number, since it is smaller than the sum of its proper divisors (34517514).

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

24242166 is a wasteful number, since it uses less digits than its factorization.

24242166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 24242166 is about 4923.6334144613. The cubic root of 24242166 is about 289.4168463695.

The spelling of 24242166 in words is "twenty-four million, two hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1279 1458 2106 2558 3159 3837 6318 7674 9477 11511 16627 18954 23022 33254 34533 49881 69066 99762 103599 149643 207198 299286 310797 448929 621594 897858 932391 1346787 1864782 2693574 4040361 8080722 12121083 24242166