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322233312225 = 3521122931127311
BaseRepresentation
bin1001011000001101001…
…10100010001111100001
31010210201222211022102110
410230012212202033201
520234413211442400
6404010522105533
732165145650526
oct4540646421741
91123658738373
10322233312225
11114727338900
125254b34b2a9
13245040cc666
141184bc9714d
1585ae526e50
hex4b069a23e1

322233312225 has 288 divisors, whose sum is σ = 632279531520. Its totient is φ = 144365760000.

The previous prime is 322233312221. The next prime is 322233312227. The reversal of 322233312225 is 522213332223.

It is a happy number.

It is not a de Polignac number, because 322233312225 - 22 = 322233312221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 322233312192 and 322233312201.

It is not an unprimeable number, because it can be changed into a prime (322233312221) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1036119820 + ... + 1036120130.

It is an arithmetic number, because the mean of its divisors is an integer number (2195415040).

Almost surely, 2322233312225 is an apocalyptic number.

It is an amenable number.

322233312225 is a deficient number, since it is larger than the sum of its proper divisors (310046219295).

322233312225 is a wasteful number, since it uses less digits than its factorization.

322233312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

Adding to 322233312225 its reverse (522213332223), we get a palindrome (844446644448).

The spelling of 322233312225 in words is "three hundred twenty-two billion, two hundred thirty-three million, three hundred twelve thousand, two hundred twenty-five".