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12214592 = 261353277
BaseRepresentation
bin101110100110…
…000101000000
3211222120021022
4232212011000
511111331332
61113445012
7205552025
oct56460500
924876238
1012214592
116993005
124110768
1326b8890
14189d54c
151114212
hexba6140

12214592 has 56 divisors (see below), whose sum is σ = 26691336. Its totient is φ = 5511168.

The previous prime is 12214583. The next prime is 12214613. The reversal of 12214592 is 29541221.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 11999296 = 464^2 + 3464^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43958 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (476631).

Almost surely, 212214592 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 12214592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345668).

12214592 is an abundant number, since it is smaller than the sum of its proper divisors (14476744).

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

12214592 is a wasteful number, since it uses less digits than its factorization.

12214592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 12214592 is about 3494.9380538144. The cubic root of 12214592 is about 230.2994964174.

The spelling of 12214592 in words is "twelve million, two hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 277 416 424 554 689 832 848 1108 1378 1696 2216 2756 3392 3601 4432 5512 7202 8864 11024 14404 14681 17728 22048 28808 29362 44096 57616 58724 115232 117448 190853 230464 234896 381706 469792 763412 939584 1526824 3053648 6107296 12214592