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12219312 = 243741887
BaseRepresentation
bin101110100111…
…001110110000
3211222210202010
4232213032300
511112004222
61113522520
7205601550
oct56471660
924883663
1012219312
116996606
124113440
1326baa81
1418a1160
15111580c
hexba73b0

12219312 has 80 divisors (see below), whose sum is σ = 36997632. Its totient is φ = 3402240.

The previous prime is 12219307. The next prime is 12219323. The reversal of 12219312 is 21391221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 13333 + ... + 14219.

Almost surely, 212219312 is an apocalyptic number.

12219312 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 12219312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816).

12219312 is an abundant number, since it is smaller than the sum of its proper divisors (24778320).

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

12219312 is a wasteful number, since it uses less digits than its factorization.

12219312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 12219312 is about 3495.6132509189. The cubic root of 12219312 is about 230.3291569425.

Subtracting from 12219312 its product of digits (216), we obtain a triangular number (12219096 = T4943).

The spelling of 12219312 in words is "twelve million, two hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 887 984 1148 1722 1774 1968 2296 2661 3444 3548 4592 5322 6209 6888 7096 10644 12418 13776 14192 18627 21288 24836 36367 37254 42576 49672 72734 74508 99344 109101 145468 149016 218202 254569 290936 298032 436404 509138 581872 763707 872808 1018276 1527414 1745616 2036552 3054828 4073104 6109656 12219312