Search a number
-
+
233012241 = 33711223443
BaseRepresentation
bin11011110001101…
…11110000010001
3121020110020201000
431320313300101
5434122342431
635042132213
75526366660
oct1570676021
9536406630
10233012241
1110a590600
1266051069
1339375387
1422d36dd7
15156ca9e6
hexde37c11

233012241 has 96 divisors (see below), whose sum is σ = 453519360. Its totient is φ = 115521120.

The previous prime is 233012209. The next prime is 233012267. The reversal of 233012241 is 142210332.

It is not a de Polignac number, because 233012241 - 25 = 233012209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233012201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525766 + ... + 526208.

It is an arithmetic number, because the mean of its divisors is an integer number (4724160).

Almost surely, 2233012241 is an apocalyptic number.

233012241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233012241 is a deficient number, since it is larger than the sum of its proper divisors (220507119).

233012241 is a wasteful number, since it uses less digits than its factorization.

233012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233012241 is about 15264.7384844943. The cubic root of 233012241 is about 615.3557251970.

Adding to 233012241 its reverse (142210332), we get a palindrome (375222573).

The spelling of 233012241 in words is "two hundred thirty-three million, twelve thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 99 121 161 189 207 231 253 297 363 443 483 621 693 759 847 1089 1329 1449 1771 2079 2277 2541 2783 3101 3267 3987 4347 4873 5313 6831 7623 8349 9303 10189 11961 14619 15939 19481 22869 25047 27909 30567 34111 43857 47817 53603 58443 71323 75141 83727 91701 102333 112079 131571 160809 175329 213969 275103 306999 336237 375221 482427 525987 641907 784553 920997 1008711 1125663 1232869 1447281 1925721 2353659 3026133 3376989 3698607 7060977 8630083 10130967 11095821 21182931 25890249 33287463 77670747 233012241