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12254216 = 23132347109
BaseRepresentation
bin101110101111…
…110000001000
3212001120121212
4232233300020
511114113331
61114352252
7206105402
oct56576010
925046555
1012254216
116a0a857
12412b688
132700920
1418adb72
151120d2b
hexbafc08

12254216 has 64 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 5246208.

The previous prime is 12254213. The next prime is 12254227. The reversal of 12254216 is 61245221.

It is a happy number.

12254216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12254191 and 12254200.

It is not an unprimeable number, because it can be changed into a prime (12254213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112370 + ... + 112478.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 212254216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12254216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

12254216 is an abundant number, since it is smaller than the sum of its proper divisors (14356984).

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

12254216 is a wasteful number, since it uses less digits than its factorization.

12254216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 12254216 is about 3500.6022339020. The cubic root of 12254216 is about 230.5482572831.

Adding to 12254216 its reverse (61245221), we get a palindrome (73499437).

The spelling of 12254216 in words is "twelve million, two hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 23 26 46 47 52 92 94 104 109 184 188 218 299 376 436 598 611 872 1081 1196 1222 1417 2162 2392 2444 2507 2834 4324 4888 5014 5123 5668 8648 10028 10246 11336 14053 20056 20492 28106 32591 40984 56212 65182 66599 112424 117829 130364 133198 235658 260728 266396 471316 532792 942632 1531777 3063554 6127108 12254216