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134204224 = 26711113241
BaseRepresentation
bin1111111111111…
…00101101000000
3100100112021120211
413333330231000
5233324013344
621152243504
73216500650
oct777745500
9310467524
10134204224
1169833690
1238b40594
1321a5b2ab
1413b76360
15bbae334
hex7ffcb40

134204224 has 112 divisors (see below), whose sum is σ = 336352896. Its totient is φ = 51609600.

The previous prime is 134204221. The next prime is 134204227. The reversal of 134204224 is 422402431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134204221) and next prime (134204227).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 134204195 and 134204204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556744 + ... + 556984.

Almost surely, 2134204224 is an apocalyptic number.

134204224 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 134204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176448).

134204224 is an abundant number, since it is smaller than the sum of its proper divisors (202148672).

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

134204224 is a wasteful number, since it uses less digits than its factorization.

134204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 134204224 is about 11584.6546776328. The cubic root of 134204224 is about 511.9828282001.

Adding to 134204224 its reverse (422402431), we get a palindrome (556606655).

The spelling of 134204224 in words is "one hundred thirty-four million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 113 154 176 224 226 241 308 352 448 452 482 616 704 791 904 964 1232 1243 1582 1687 1808 1928 2464 2486 2651 3164 3374 3616 3856 4928 4972 5302 6328 6748 7232 7712 8701 9944 10604 12656 13496 15424 17402 18557 19888 21208 25312 26992 27233 34804 37114 39776 42416 50624 53984 54466 69608 74228 79552 84832 107968 108932 139216 148456 169664 190631 217864 278432 296912 299563 381262 435728 556864 593824 599126 762524 871456 1187648 1198252 1525048 1742912 2096941 2396504 3050096 4193882 4793008 6100192 8387764 9586016 12200384 16775528 19172032 33551056 67102112 134204224