Search a number
-
+
223133011233 = 311217231572101
BaseRepresentation
bin1100111111001111000…
…0111000110100100001
3210022221112010102012020
43033303300320310201
512123434022324413
6250301134452053
722056305205306
oct3176360706441
9708845112166
10223133011233
11866a2849a00
12372b2964029
131806cb0c5c2
14ab2a5150ad
155c0e2a9c23
hex33f3c38d21

223133011233 has 48 divisors (see below), whose sum is σ = 361306770048. Its totient is φ = 121743424000.

The previous prime is 223133011193. The next prime is 223133011259. The reversal of 223133011233 is 332110331322.

It is not a de Polignac number, because 223133011233 - 26 = 223133011169 is a prime.

It is a super-3 number, since 3×2231330112333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223133011273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644118 + ... + 927983.

It is an arithmetic number, because the mean of its divisors is an integer number (7527224376).

Almost surely, 2223133011233 is an apocalyptic number.

223133011233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223133011233 is a deficient number, since it is larger than the sum of its proper divisors (138173758815).

223133011233 is a wasteful number, since it uses less digits than its factorization.

223133011233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572166 (or 1572155 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 223133011233 its reverse (332110331322), we get a palindrome (555243342555).

The spelling of 223133011233 in words is "two hundred twenty-three billion, one hundred thirty-three million, eleven thousand, two hundred thirty-three".

Divisors: 1 3 11 17 23 33 51 69 121 187 253 363 391 561 759 1173 2057 2783 4301 6171 8349 12903 47311 141933 1572101 4716303 17293111 26725717 36158323 51879333 80177151 108474969 190224221 293982887 397741553 570672663 614691491 881948661 1193224659 1844074473 3233811757 4375157083 6761606401 9701435271 13125471249 20284819203 74377670411 223133011233