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12229392 = 2437172141
BaseRepresentation
bin101110101001…
…101100010000
3212000022120110
4232221230100
511112320032
61114041320
7205643130
oct56515420
925008513
1012229392
1169a313a
124119240
1326c2536
1418a4ac0
1511187cc
hexba9b10

12229392 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 3287040.

The previous prime is 12229381. The next prime is 12229397. The reversal of 12229392 is 29392221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12229397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4642 + ... + 6782.

Almost surely, 212229392 is an apocalyptic number.

12229392 is a gapful number since it is divisible by the number (12) 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 12229392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

12229392 is an abundant number, since it is smaller than the sum of its proper divisors (26018160).

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

12229392 is a wasteful number, since it uses less digits than its factorization.

12229392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 12229392 is about 3497.0547607951. The cubic root of 12229392 is about 230.3924741948.

It can be divided in two parts, 12229 and 392, that added together give a palindrome (12621).

The spelling of 12229392 in words is "twelve million, two hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2141 2856 4282 5712 6423 8564 12846 14987 17128 25692 29974 34256 36397 44961 51384 59948 72794 89922 102768 109191 119896 145588 179844 218382 239792 254779 291176 359688 436764 509558 582352 719376 764337 873528 1019116 1528674 1747056 2038232 3057348 4076464 6114696 12229392