Search a number
-
+
52223200232225 = 5211547687150527
BaseRepresentation
bin10111101111111001010010…
…10011001000001100100001
320211220111012121121201011112
423313330221103020030201
523321111103224412400
6303023001301553105
714000000404535201
oct1367745123101441
9224814177551145
1052223200232225
111570480a090a10
125a35258115795
13231a81b9a1579
14cc788b4aa401
156086a2c74835
hex2f7f294c8321

52223200232225 has 48 divisors (see below), whose sum is σ = 70784595972096. Its totient is φ = 37904807304000.

The previous prime is 52223200232183. The next prime is 52223200232267.

It is a happy number.

52223200232225 is nontrivially palindromic in base 10.

52223200232225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52223200232183) and next prime (52223200232267).

It is not a de Polignac number, because 52223200232225 - 240 = 51123688604449 is a prime.

It is a super-3 number, since 3×522232002322253 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52223200232191 and 52223200232200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033544912 + ... + 1033595438.

It is an arithmetic number, because the mean of its divisors is an integer number (1474679082752).

Almost surely, 252223200232225 is an apocalyptic number.

52223200232225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52223200232225 is a deficient number, since it is larger than the sum of its proper divisors (18561395739871).

52223200232225 is a wasteful number, since it uses less digits than its factorization.

52223200232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57966 (or 57961 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 52223200 and 232225, that added together give a palindrome (52455425).

The spelling of 52223200232225 in words is "fifty-two trillion, two hundred twenty-three billion, two hundred million, two hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 275 547 2735 6017 6871 13675 30085 34355 50527 75581 150425 171775 252635 377905 555797 1263175 1889525 2778985 3758437 13894925 18792185 27638269 41342807 93960925 138191345 206714035 304020959 347171017 690956725 1033570175 1520104795 1735855085 3818881187 7600523975 8679275425 19094405935 95472029675 189902546299 949512731495 2088928009289 4747563657475 10444640046445 52223200232225