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12218272 = 2511103337
BaseRepresentation
bin101110100110…
…111110100000
3211222202022121
4232212332200
511111441042
61113514024
7205565533
oct56467640
924882277
1012218272
116995850
124112914
1326ba461
1418a0a1a
151115367
hexba6fa0

12218272 has 48 divisors (see below), whose sum is σ = 26574912. Its totient is φ = 5483520.

The previous prime is 12218243. The next prime is 12218299. The reversal of 12218272 is 27281221.

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 7 ways as a sum of consecutive naturals, for example, 36088 + ... + 36424.

It is an arithmetic number, because the mean of its divisors is an integer number (553644).

Almost surely, 212218272 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 12218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287456).

12218272 is an abundant number, since it is smaller than the sum of its proper divisors (14356640).

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

12218272 is a wasteful number, since it uses less digits than its factorization.

12218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 12218272 is about 3495.4644898783. The cubic root of 12218272 is about 230.3226222287.

Adding to 12218272 its reverse (27281221), we get a palindrome (39499493).

The spelling of 12218272 in words is "twelve million, two hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 337 352 412 674 824 1133 1348 1648 2266 2696 3296 3707 4532 5392 7414 9064 10784 14828 18128 29656 34711 36256 59312 69422 118624 138844 277688 381821 555376 763642 1110752 1527284 3054568 6109136 12218272