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5221441225 = 5272111341727
BaseRepresentation
bin1001101110011100…
…01101111011001001
3111110220001200211001
410313032031323021
541143142104400
62222041335001
7243251342500
oct46716157311
914426050731
105221441225
11223a405090
121018797461
136529b22c0
14377665837
152085e8a6a
hex13738dec9

5221441225 has 144 divisors (see below), whose sum is σ = 9076669056. Its totient is φ = 2927232000.

The previous prime is 5221441223. The next prime is 5221441229.

It is a happy number.

5221441225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5221441225 - 21 = 5221441223 is a prime.

It is a super-2 number, since 2×52214412252 = 54526896932259001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5221441193 and 5221441202.

It is not an unprimeable number, because it can be changed into a prime (5221441223) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7181812 + ... + 7182538.

It is an arithmetic number, because the mean of its divisors is an integer number (63032424).

Almost surely, 25221441225 is an apocalyptic number.

5221441225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5221441225 is a deficient number, since it is larger than the sum of its proper divisors (3855227831).

5221441225 is a wasteful number, since it uses less digits than its factorization.

5221441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 5221441225 is about 72259.5407195479. The cubic root of 5221441225 is about 1734.8561283918.

It can be divided in two parts, 52214 and 41225, that added together give a palindrome (93439).

The spelling of 5221441225 in words is "five billion, two hundred twenty-one million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 41 49 55 65 77 91 143 175 205 245 275 287 325 385 451 455 533 539 637 715 727 1001 1025 1225 1435 1925 2009 2255 2275 2665 2695 3157 3185 3575 3635 3731 5005 5089 5863 7007 7175 7997 9451 10045 11275 13325 13475 15785 15925 18175 18655 22099 25025 25445 26117 29315 29807 35035 35623 39985 41041 47255 50225 55979 66157 78925 93275 103961 110495 127225 130585 146575 149035 175175 178115 199925 205205 208649 236275 279895 287287 327877 330785 387491 391853 463099 519805 552475 652925 727727 745175 890575 1026025 1043245 1399475 1436435 1460543 1639385 1653925 1937455 1959265 2295139 2315495 2599025 2712437 3638635 4262401 5094089 5216225 7182175 7302715 8196925 9687275 9796325 11475695 11577475 13562185 16065973 18193175 18987059 21312005 25470445 29836807 36513575 57378475 67810925 80329865 94935295 106560025 127352225 149184035 208857649 401649325 474676475 745920175 1044288245 5221441225