Search a number
-
+
228653243329 = 72683112
BaseRepresentation
bin1101010011110011001…
…0111001101111000001
3210212012020102021000211
43110330302321233001
512221240212241304
6253013012314121
722343145333400
oct3247462715701
9725166367024
10228653243329
1188a75881a95
1238393612941
131873c688224
14b0d1717637
155e33c24204
hex353ccb9bc1

228653243329 has 9 divisors (see below), whose sum is σ = 265988278881. Its totient is φ = 195985625220.

The previous prime is 228653243323. The next prime is 228653243363. The reversal of 228653243329 is 923342356822.

The square root of 228653243329 is 478177.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 228653243329 - 211 = 228653241281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228653243323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3313084 + ... + 3381394.

It is an arithmetic number, because the mean of its divisors is an integer number (29554253209).

Almost surely, 2228653243329 is an apocalyptic number.

228653243329 is the 478177-th square number.

228653243329 is the 239089-th centered octagonal number.

It is an amenable number.

228653243329 is a deficient number, since it is larger than the sum of its proper divisors (37335035552).

228653243329 is an frugal number, since it uses more digits than its factorization.

228653243329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136636 (or 68318 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 49.

Multiplying 228653243329 by its sum of digits (49), we get a square (11204008923121 = 33472392).

228653243329 divided by its sum of digits (49) gives a square (4666392721 = 683112).

The spelling of 228653243329 in words is "two hundred twenty-eight billion, six hundred fifty-three million, two hundred forty-three thousand, three hundred twenty-nine".

Divisors: 1 7 49 68311 478177 3347239 4666392721 32664749047 228653243329