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136612224 = 273375647
BaseRepresentation
bin10000010010010…
…00100110000000
3100112001121202000
420021020212000
5234433042344
621320024000
73246120240
oct1011104600
9315047660
10136612224
1170128871
1239902000
13223c2348
1414201b20
15bed7a69
hex8248980

136612224 has 128 divisors (see below), whose sum is σ = 460876800. Its totient is φ = 39025152.

The previous prime is 136612219. The next prime is 136612283. The reversal of 136612224 is 422216631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21369 + ... + 27015.

It is an arithmetic number, because the mean of its divisors is an integer number (3600600).

Almost surely, 2136612224 is an apocalyptic number.

136612224 is a gapful number since it is divisible by the number (14) 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 136612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230438400).

136612224 is an abundant number, since it is smaller than the sum of its proper divisors (324264576).

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

136612224 is an equidigital number, since it uses as much as digits as its factorization.

136612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5659 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 136612224 is about 11688.1232026361. The cubic root of 136612224 is about 515.0268299090.

Adding to 136612224 its reverse (422216631), we get a palindrome (558828855).

The spelling of 136612224 in words is "one hundred thirty-six million, six hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 5647 6048 8064 11294 12096 16941 22588 24192 33882 39529 45176 50823 67764 79058 90352 101646 118587 135528 152469 158116 180704 203292 237174 271056 304938 316232 355761 361408 406584 474348 542112 609876 632464 711522 722816 813168 948696 1067283 1084224 1219752 1264928 1423044 1626336 1897392 2134566 2168448 2439504 2529856 2846088 3252672 3794784 4269132 4879008 5059712 5692176 6505344 7589568 8538264 9758016 11384352 15179136 17076528 19516032 22768704 34153056 45537408 68306112 136612224