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12225984 = 263371721
BaseRepresentation
bin101110101000…
…110111000000
3212000010220020
4232220313000
511112212414
61114013440
7205630161
oct56506700
925003806
1012225984
1169a0621
124117280
1326c0b14
1418a3768
1511177a9
hexba8dc0

12225984 has 56 divisors (see below), whose sum is σ = 33241488. Its totient is φ = 3962880.

The previous prime is 12225937. The next prime is 12225989. The reversal of 12225984 is 48952221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225989) 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 7 ways as a sum of consecutive naturals, for example, 6244 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (593598).

Almost surely, 212225984 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 12225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620744).

12225984 is an abundant number, since it is smaller than the sum of its proper divisors (21015504).

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

12225984 is a wasteful number, since it uses less digits than its factorization.

12225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 12225984 is about 3496.5674596667. The cubic root of 12225984 is about 230.3710708277.

It can be divided in two parts, 122 and 25984, that added together give a triangular number (26106 = T228).

The spelling of 12225984 in words is "twelve million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1721 1776 2368 3442 3552 5163 6884 7104 10326 13768 20652 27536 41304 55072 63677 82608 110144 127354 165216 191031 254708 330432 382062 509416 764124 1018832 1528248 2037664 3056496 4075328 6112992 12225984