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13852216 = 2371947277
BaseRepresentation
bin110100110101…
…111000111000
3222001202200001
4310311320320
512021232331
61212522344
7225512320
oct64657070
928052601
1013852216
117901414
1247803b4
132b400a1
141ba8280
151339561
hexd35e38

13852216 has 64 divisors (see below), whose sum is σ = 32025600. Its totient is φ = 5484672.

The previous prime is 13852177. The next prime is 13852217. The reversal of 13852216 is 61225831.

13852216 is a nontrivial binomial coefficient, being equal to C(5264, 2).

It is a super-2 number, since 2×138522162 = 383767776221312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13852217) 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 15 ways as a sum of consecutive naturals, for example, 49870 + ... + 50146.

It is an arithmetic number, because the mean of its divisors is an integer number (500400).

Almost surely, 213852216 is an apocalyptic number.

13852216 is the 5263-rd triangular number and also the 2632-nd hexagonal number.

13852216 is the 1755-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13852216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012800).

13852216 is an abundant number, since it is smaller than the sum of its proper divisors (18173384).

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

13852216 is a wasteful number, since it uses less digits than its factorization.

13852216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 13852216 is about 3721.8565259827. The cubic root of 13852216 is about 240.1631760684.

The spelling of 13852216 in words is "thirteen million, eight hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 277 329 376 532 554 658 893 1064 1108 1316 1786 1939 2216 2632 3572 3878 5263 6251 7144 7756 10526 12502 13019 15512 21052 25004 26038 36841 42104 50008 52076 73682 91133 104152 147364 182266 247361 294728 364532 494722 729064 989444 1731527 1978888 3463054 6926108 13852216