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303133222225 = 5241295739729
BaseRepresentation
bin1000110100101000010…
…01011110010101010001
31001222102212122012121201
410122110021132111101
514431304101102400
6351131340551201
730620631606121
oct4322411362521
91058385565551
10303133222225
1110761588a559
124a8ba852501
132277bcb9462
1410959306c81
157d427bb06a
hex469425e551

303133222225 has 12 divisors (see below), whose sum is σ = 385053128460. Its totient is φ = 236591782400.

The previous prime is 303133222207. The next prime is 303133222247. The reversal of 303133222225 is 522222331303.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 73561915729 + 229571306496 = 271223^2 + 479136^2 .

It is not a de Polignac number, because 303133222225 - 211 = 303133220177 is a prime.

It is a super-2 number, since 2×3031332222252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 303133222193 and 303133222202.

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 11 ways as a sum of consecutive naturals, for example, 147868840 + ... + 147870889.

It is an arithmetic number, because the mean of its divisors is an integer number (32087760705).

Almost surely, 2303133222225 is an apocalyptic number.

It is an amenable number.

303133222225 is a deficient number, since it is larger than the sum of its proper divisors (81919906235).

303133222225 is a wasteful number, since it uses less digits than its factorization.

303133222225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295739780 (or 295739775 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 303133222225 its reverse (522222331303), we get a palindrome (825355553528).

The spelling of 303133222225 in words is "three hundred three billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 295739729 1478698645 7393493225 12125328889 60626644445 303133222225