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2223200133 = 327119733073
BaseRepresentation
bin1000010010000011…
…0101011110000101
312201221100021020200
42010200311132011
514023114401013
61004334521113
7106043614020
oct20440653605
95657307220
102223200133
11a40a36190
12520666199
1329579554b
1417139a1b7
15d02a0e73
hex84835785

2223200133 has 48 divisors (see below), whose sum is σ = 4045082496. Its totient is φ = 1142968320.

The previous prime is 2223200107. The next prime is 2223200137. The reversal of 2223200133 is 3310023222.

It is a happy number.

It is not a de Polignac number, because 2223200133 - 28 = 2223199877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223200137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50685 + ... + 83757.

It is an arithmetic number, because the mean of its divisors is an integer number (84272552).

Almost surely, 22223200133 is an apocalyptic number.

It is an amenable number.

2223200133 is a deficient number, since it is larger than the sum of its proper divisors (1821882363).

2223200133 is a wasteful number, since it uses less digits than its factorization.

2223200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33194 (or 33191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2223200133 is about 47150.8232483803. The cubic root of 2223200133 is about 1305.1472718808.

Adding to 2223200133 its reverse (3310023222), we get a palindrome (5533223355).

Subtracting 2223200133 from its reverse (3310023222), we obtain a square (1086823089 = 329672).

The spelling of 2223200133 in words is "two billion, two hundred twenty-three million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 97 99 231 291 679 693 873 1067 2037 3201 6111 7469 9603 22407 33073 67221 99219 231511 297657 363803 694533 1091409 2083599 2546621 3208081 3274227 7639863 9624243 22456567 22919589 28872729 35288891 67369701 105866673 202109103 247022237 317600019 741066711 2223200133