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16224660 = 22325233919
BaseRepresentation
bin111101111001…
…000110010100
31010112022001100
4331321012110
513123142120
61335430100
7254623134
oct75710624
933468040
1016224660
119181911
125525330
133490bba
142224ac4
151657490
hexf79194

16224660 has 72 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 4137408.

The previous prime is 16224641. The next prime is 16224671. The reversal of 16224660 is 6642261.

It is a happy number.

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, 2181 + ... + 6099.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 216224660 is an apocalyptic number.

16224660 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 16224660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

16224660 is an abundant number, since it is smaller than the sum of its proper divisors (35143020).

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

16224660 is a wasteful number, since it uses less digits than its factorization.

16224660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16224660 is about 4027.9846077164. The cubic root of 16224660 is about 253.1581236945.

It can be divided in two parts, 16 and 224660, that added together give a square (224676 = 4742).

The spelling of 16224660 in words is "sixteen million, two hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3919 4140 7838 11757 15676 19595 23514 35271 39190 47028 58785 70542 78380 90137 117570 141084 176355 180274 235140 270411 352710 360548 450685 540822 705420 811233 901370 1081644 1352055 1622466 1802740 2704110 3244932 4056165 5408220 8112330 16224660