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16022772 = 2234172909
BaseRepresentation
bin111101000111…
…110011110100
31010011001010000
4331013303310
513100212042
61331231300
7253122423
oct75076364
933131100
1016022772
119054167
125448530
13342003c
1421b12ba
15161774c
hexf47cf4

16022772 has 60 divisors (see below), whose sum is σ = 44365860. Its totient is φ = 5025024.

The previous prime is 16022767. The next prime is 16022779. The reversal of 16022772 is 27722061.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 2802276 = 3636^2 + 1674^2 .

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 (16022779) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4054 + ... + 6962.

It is an arithmetic number, because the mean of its divisors is an integer number (739431).

Almost surely, 216022772 is an apocalyptic number.

16022772 is a gapful number since it is divisible by the number (12) 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 16022772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182930).

16022772 is an abundant number, since it is smaller than the sum of its proper divisors (28343088).

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

16022772 is a wasteful number, since it uses less digits than its factorization.

16022772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 16022772 is about 4002.8454878998. The cubic root of 16022772 is about 252.1036988183.

The spelling of 16022772 in words is "sixteen million, twenty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 2909 5508 5818 8727 11636 17454 26181 34908 49453 52362 78543 98906 104724 148359 157086 197812 235629 296718 314172 445077 471258 593436 890154 942516 1335231 1780308 2670462 4005693 5340924 8011386 16022772