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5223135204 = 2233728111217
BaseRepresentation
bin1001101110101001…
…01011011111100100
3111111000020202112000
410313110223133210
541144110311304
62222141525300
7243301626300
oct46724533744
914430222460
105223135204
112240361871
121019273830
13653156361
14377986d00
15208830939
hex13752b7e4

5223135204 has 144 divisors (see below), whose sum is σ = 15784695360. Its totient is φ = 1489259520.

The previous prime is 5223135163. The next prime is 5223135221. The reversal of 5223135204 is 4025313225.

It is a happy number.

5223135204 is a `hidden beast` number, since 522 + 3 + 135 + 2 + 0 + 4 = 666.

It is a super-2 number, since 2×52231352042 = 54562282718528243232, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4291204 + ... + 4292420.

It is an arithmetic number, because the mean of its divisors is an integer number (109615940).

Almost surely, 25223135204 is an apocalyptic number.

5223135204 is a gapful number since it is divisible by the number (54) 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 5223135204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892347680).

5223135204 is an abundant number, since it is smaller than the sum of its proper divisors (10561560156).

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

5223135204 is a wasteful number, since it uses less digits than its factorization.

5223135204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5223135204 is about 72271.2612592308. The cubic root of 5223135204 is about 1735.0437197719.

Adding to 5223135204 its reverse (4025313225), we get a palindrome (9248448429).

The spelling of 5223135204 in words is "five billion, two hundred twenty-three million, one hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 811 882 1217 1323 1622 1764 2433 2434 2646 3244 3651 4866 4868 5292 5677 7299 7302 8519 9732 10953 11354 14598 14604 17031 17038 21897 21906 22708 25557 29196 32859 34062 34076 39739 43794 43812 51093 51114 59633 65718 68124 76671 79478 87588 102186 102228 119217 119266 131436 153279 153342 158956 178899 204372 230013 238434 238532 306558 306684 357651 357798 460026 476868 536697 613116 715302 715596 920052 986987 1072953 1073394 1430604 1610091 1973974 2145906 2146788 2960961 3220182 3947948 4291812 5921922 6440364 6908909 8882883 11843844 13817818 17765766 20726727 26648649 27635636 35531532 41453454 48362363 53297298 62180181 82906908 96724726 106594596 124360362 145087089 186540543 193449452 248720724 290174178 373081086 435261267 580348356 746162172 870522534 1305783801 1741045068 2611567602 5223135204