Search a number
-
+
16224880 = 245724139
BaseRepresentation
bin111101111001…
…001001110000
31010112022100111
4331321021300
513123144010
61335431104
7254623600
oct75711160
933468314
1016224880
119181aa1
125525494
133491029
142224c00
15165758a
hexf79270

16224880 has 60 divisors (see below), whose sum is σ = 43892280. Its totient is φ = 5561472.

The previous prime is 16224839. The next prime is 16224881. The reversal of 16224880 is 8842261.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16224881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 5989.

It is an arithmetic number, because the mean of its divisors is an integer number (731538).

Almost surely, 216224880 is an apocalyptic number.

16224880 is a gapful number since it is divisible by the number (10) 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 16224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946140).

16224880 is an abundant number, since it is smaller than the sum of its proper divisors (27667400).

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

16224880 is a wasteful number, since it uses less digits than its factorization.

16224880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 16224880 is about 4028.0119165663. The cubic root of 16224880 is about 253.1592679309.

The spelling of 16224880 in words is "sixteen million, two hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 4139 8278 16556 20695 28973 33112 41390 57946 66224 82780 115892 144865 165560 202811 231784 289730 331120 405622 463568 579460 811244 1014055 1158920 1622488 2028110 2317840 3244976 4056220 8112440 16224880