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52202220225 = 35219193347547
BaseRepresentation
bin110000100111011111…
…101010101011000001
311222202001200112211220
4300213133222223001
51323402232021400
635551550425253
73525422356611
oct604737525301
9158661615756
1052202220225
1120158879771
12a14a502229
134bcc09ab0c
142752dc8a41
151557d9e7a0
hexc277eaac1

52202220225 has 96 divisors (see below), whose sum is σ = 91751508480. Its totient is φ = 26115747840.

The previous prime is 52202220173. The next prime is 52202220241.

52202220225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52202220225 - 28 = 52202219969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52202220195 and 52202220204.

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 95 ways as a sum of consecutive naturals, for example, 95433402 + ... + 95433948.

It is an arithmetic number, because the mean of its divisors is an integer number (955744880).

Almost surely, 252202220225 is an apocalyptic number.

It is an amenable number.

52202220225 is a deficient number, since it is larger than the sum of its proper divisors (39549288255).

52202220225 is a wasteful number, since it uses less digits than its factorization.

52202220225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 52202220225 in words is "fifty-two billion, two hundred two million, two hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 193 285 347 475 547 579 965 1041 1425 1641 1735 2735 2895 3667 4825 5205 6593 8205 8675 10393 11001 13675 14475 18335 19779 26025 31179 32965 41025 51965 55005 66971 91675 98895 105571 155895 164825 189809 200913 259825 275025 316713 334855 494475 527855 569427 779475 949045 1004565 1272449 1583565 1674275 2005849 2639275 2847135 3606371 3817347 4745225 5022825 6017547 6362245 7917825 10029245 10819113 14235675 18031855 19086735 30087735 31811225 36633137 50146225 54095565 90159275 95433675 109899411 150438675 183165685 270477825 549497055 696029603 915828425 2088088809 2747485275 3480148015 10440444045 17400740075 52202220225