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12219872 = 257173209
BaseRepresentation
bin101110100111…
…010111100000
3211222211111212
4232213113200
511112013442
61113525252
7205603310
oct56472740
924884455
1012219872
116996a75
124113828
1326bb0c2
1418a1440
151115a82
hexba75e0

12219872 has 48 divisors (see below), whose sum is σ = 29121120. Its totient is φ = 4927488.

The previous prime is 12219871. The next prime is 12219901. The reversal of 12219872 is 27891221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12219871) by changing a digit.

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, 2204 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (606690).

Almost surely, 212219872 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 12219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560560).

12219872 is an abundant number, since it is smaller than the sum of its proper divisors (16901248).

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

12219872 is a wasteful number, since it uses less digits than its factorization.

12219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3235 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 12219872 is about 3495.6933503956. The cubic root of 12219872 is about 230.3326754810.

The spelling of 12219872 in words is "twelve million, two hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3209 3808 6418 12836 22463 25672 44926 51344 54553 89852 102688 109106 179704 218212 359408 381871 436424 718816 763742 872848 1527484 1745696 3054968 6109936 12219872