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823338225 = 325210335527
BaseRepresentation
bin110001000100110…
…010010011110001
32010101020220201100
4301010302103301
53141233310400
6213410555013
726255154663
oct6104622361
92111226640
10823338225
11392831216
121ab898a69
131017648a8
147b4c2533
154c437100
hex311324f1

823338225 has 36 divisors (see below), whose sum is σ = 1489049536. Its totient is φ = 434838240.

The previous prime is 823338211. The next prime is 823338239. The reversal of 823338225 is 522833328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (823338211) and next prime (823338239).

It is not a de Polignac number, because 823338225 - 210 = 823337201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 823338225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5412 + ... + 40938.

Almost surely, 2823338225 is an apocalyptic number.

It is an amenable number.

823338225 is a deficient number, since it is larger than the sum of its proper divisors (665711311).

823338225 is a wasteful number, since it uses less digits than its factorization.

823338225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35646 (or 35638 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 823338225 is about 28693.8708612135. The cubic root of 823338225 is about 937.2585831711.

The spelling of 823338225 in words is "eight hundred twenty-three million, three hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 225 309 515 927 1545 2575 4635 7725 23175 35527 106581 177635 319743 532905 888175 1598715 2664525 3659281 7993575 10977843 18296405 32933529 54889215 91482025 164667645 274446075 823338225