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305230233 = 371153107233
BaseRepresentation
bin10010001100010…
…111000110011001
3210021100022011110
4102030113012121
51111114331413
650142050533
710364262030
oct2214270631
9707308143
10305230233
11147326aa0
1286279a49
134b30c609
142c775717
151bbe38c3
hex12317199

305230233 has 64 divisors (see below), whose sum is σ = 524040192. Its totient is φ = 153454080.

The previous prime is 305230169. The next prime is 305230271. The reversal of 305230233 is 332032503.

It is not a de Polignac number, because 305230233 - 26 = 305230169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (305230273) 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 63 ways as a sum of consecutive naturals, for example, 1309885 + ... + 1310117.

It is an arithmetic number, because the mean of its divisors is an integer number (8188128).

Almost surely, 2305230233 is an apocalyptic number.

305230233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

305230233 is a deficient number, since it is larger than the sum of its proper divisors (218809959).

305230233 is a wasteful number, since it uses less digits than its factorization.

305230233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 305230233 is about 17470.8395047290. The cubic root of 305230233 is about 673.3008810019.

Adding to 305230233 its reverse (332032503), we get a palindrome (637262736).

The spelling of 305230233 in words is "three hundred five million, two hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 7 11 21 33 53 77 107 159 231 233 321 371 583 699 749 1113 1177 1631 1749 2247 2563 3531 4081 4893 5671 7689 8239 12243 12349 17013 17941 24717 24931 37047 39697 53823 62381 74793 86443 119091 135839 174517 187143 259329 274241 407517 436667 523551 822723 950873 1310001 1321343 1919687 2852619 3964029 5759061 9249401 14534773 27748203 43604319 101743411 305230233