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5215006225 = 521121321012
BaseRepresentation
bin1001101101101011…
…01010111000010001
3111110102221202122201
410312311222320101
541140020144400
62221251403201
7243142551532
oct46665527021
914412852581
105215006225
11223680a400
1210165b3501
1365156b300
1437686c689
15207c7706a
hex136d6ae11

5215006225 has 81 divisors (see below), whose sum is σ = 7773706227. Its totient is φ = 3466320000.

The previous prime is 5215006219. The next prime is 5215006249. The reversal of 5215006225 is 5226005125.

The square root of 5215006225 is 72215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2328738049 + 2886268176 = 48257^2 + 53724^2 .

It is not a de Polignac number, because 5215006225 - 29 = 5215005713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5215006193 and 5215006202.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 51633675 + ... + 51633775.

Almost surely, 25215006225 is an apocalyptic number.

5215006225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5215006225 is the 72215-th square number.

5215006225 is the 36108-th centered octagonal number.

It is an amenable number.

5215006225 is a deficient number, since it is larger than the sum of its proper divisors (2558700002).

5215006225 is a wasteful number, since it uses less digits than its factorization.

5215006225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The cubic root of 5215006225 is about 1734.1431459026.

It can be divided in two parts, 521500 and 6225, that added together give a palindrome (527725).

The spelling of 5215006225 in words is "five billion, two hundred fifteen million, six thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 101 121 143 169 275 325 505 605 715 845 1111 1313 1573 1859 2525 3025 3575 4225 5555 6565 7865 9295 10201 12221 14443 17069 20449 27775 32825 39325 46475 51005 61105 72215 85345 102245 112211 132613 158873 187759 255025 305525 361075 426725 511225 561055 663065 794365 938795 1234321 1458743 1723969 2065349 2805275 3315325 3971825 4693975 6171605 7293715 8619845 10326745 16046173 18963659 30858025 36468575 43099225 51633725 80230865 94818295 208600249 401154325 474091475 1043001245 5215006225