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13228816 = 2431149179
BaseRepresentation
bin110010011101…
…101100010000
3220220002112011
4302131230100
511341310231
61151312304
7220304656
oct62355420
926802464
1013228816
117516007
12451b694
132982403
141a84dd6
1512649b1
hexc9db10

13228816 has 40 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 6322560.

The previous prime is 13228801. The next prime is 13228819. The reversal of 13228816 is 61882231.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13228819) 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, 73815 + ... + 73993.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 213228816 is an apocalyptic number.

13228816 is a gapful number since it is divisible by the number (16) 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 13228816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

13228816 is an abundant number, since it is smaller than the sum of its proper divisors (13555184).

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

13228816 is a wasteful number, since it uses less digits than its factorization.

13228816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 13228816 is about 3637.1439344629. The cubic root of 13228816 is about 236.5049992462.

The spelling of 13228816 in words is "thirteen million, two hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 149 179 248 298 358 496 596 716 1192 1432 2384 2864 4619 5549 9238 11098 18476 22196 26671 36952 44392 53342 73904 88784 106684 213368 426736 826801 1653602 3307204 6614408 13228816