Search a number
-
+
12277216 = 257232383
BaseRepresentation
bin101110110101…
…010111100000
3212002202011201
4232311113200
511120332331
61115050544
7206232430
oct56652740
925082151
1012277216
116a26066
124140a54
13270b233
1418b82c0
151127a61
hexbb55e0

12277216 has 48 divisors (see below), whose sum is σ = 28836864. Its totient is φ = 5030784.

The previous prime is 12277183. The next prime is 12277219. The reversal of 12277216 is 61277221.

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 (12277219) 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 7 ways as a sum of consecutive naturals, for example, 3961 + ... + 6343.

It is an arithmetic number, because the mean of its divisors is an integer number (600768).

Almost surely, 212277216 is an apocalyptic number.

12277216 is a gapful number since it is divisible by the number (16) 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 12277216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418432).

12277216 is an abundant number, since it is smaller than the sum of its proper divisors (16559648).

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

12277216 is a wasteful number, since it uses less digits than its factorization.

12277216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2415 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 12277216 is about 3503.8858428893. The cubic root of 12277216 is about 230.6924061995.

The spelling of 12277216 in words is "twelve million, two hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2383 2576 4766 5152 9532 16681 19064 33362 38128 54809 66724 76256 109618 133448 219236 266896 383663 438472 533792 767326 876944 1534652 1753888 3069304 6138608 12277216