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13224912 = 2431719853
BaseRepresentation
bin110010011100…
…101111010000
3220212220011120
4302130233100
511341144122
61151242240
7220260411
oct62345720
926786146
1013224912
117513088
124519380
1329806bc
141a83808
15126375c
hexc9cbd0

13224912 has 80 divisors (see below), whose sum is σ = 38122560. Its totient is φ = 3926016.

The previous prime is 13224901. The next prime is 13224917. The reversal of 13224912 is 21942231.

13224912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15078 + ... + 15930.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 213224912 is an apocalyptic number.

13224912 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 13224912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061280).

13224912 is an abundant number, since it is smaller than the sum of its proper divisors (24897648).

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

13224912 is a wasteful number, since it uses less digits than its factorization.

13224912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13224912 is about 3636.6072100242. The cubic root of 13224912 is about 236.4817316976.

The spelling of 13224912 in words is "thirteen million, two hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 853 912 969 1292 1706 1938 2559 2584 3412 3876 5118 5168 6824 7752 10236 13648 14501 15504 16207 20472 29002 32414 40944 43503 48621 58004 64828 87006 97242 116008 129656 174012 194484 232016 259312 275519 348024 388968 551038 696048 777936 826557 1102076 1653114 2204152 3306228 4408304 6612456 13224912