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136342224 = 24332910883
BaseRepresentation
bin10000010000001…
…10101011010000
3100111112220101000
420020012223100
5234400422344
621310142000
73243614124
oct1010065320
9314486330
10136342224
116aa63a27
12397b1900
1322329495
1414171584
15be82a69
hex8206ad0

136342224 has 80 divisors (see below), whose sum is σ = 404884800. Its totient is φ = 43876224.

The previous prime is 136342211. The next prime is 136342231. The reversal of 136342224 is 422243631.

136342224 is a `hidden beast` number, since 1 + 3 + 634 + 2 + 2 + 24 = 666.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7087 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060).

Almost surely, 2136342224 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 136342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202442400).

136342224 is an abundant number, since it is smaller than the sum of its proper divisors (268542576).

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

136342224 is a wasteful number, since it uses less digits than its factorization.

136342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929 (or 10917 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 136342224 is about 11676.5673037927. The cubic root of 136342224 is about 514.6873069598.

Adding to 136342224 its reverse (422243631), we get a palindrome (558585855).

The spelling of 136342224 in words is "one hundred thirty-six million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 10883 12528 21766 32649 43532 65298 87064 97947 130596 174128 195894 261192 293841 315607 391788 522384 587682 631214 783576 946821 1175364 1262428 1567152 1893642 2350728 2524856 2840463 3787284 4701456 5049712 5680926 7574568 8521389 11361852 15149136 17042778 22723704 34085556 45447408 68171112 136342224