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223133133133232 = 24713915194919249
BaseRepresentation
bin110010101111000000111011…
…001000110101010110110000
31002021001022121200211202002122
4302233000323020311112300
5213221303124040230412
62110321540220133412
764666560022504220
oct6257007310652660
91067038550752078
10223133133133232
11651082596485a3
1221038842997268
13976749710350a
143d159b63c4080
151abe3115bd572
hexcaf03b2355b0

223133133133232 has 80 divisors (see below), whose sum is σ = 500930646720000. Its totient is φ = 94311764812800.

The previous prime is 223133133133231. The next prime is 223133133133241. The reversal of 223133133133232 is 232331331331322.

It is a happy number.

It is a super-3 number, since 3×2231331331332323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223133133133192 and 223133133133201.

It is not an unprimeable number, because it can be changed into a prime (223133133133231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45108857 + ... + 49810392.

It is an arithmetic number, because the mean of its divisors is an integer number (6261633084000).

Almost surely, 2223133133133232 is an apocalyptic number.

It is an amenable number.

223133133133232 is an abundant number, since it is smaller than the sum of its proper divisors (277797513586768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223133133133232 is a wasteful number, since it uses less digits than its factorization.

223133133133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94919554 (or 94919548 counting only the distinct ones).

The product of its digits is 104976, while the sum is 35.

Adding to 223133133133232 its reverse (232331331331322), we get a palindrome (455464464464554).

The spelling of 223133133133232 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 151 278 302 556 604 973 1057 1112 1208 1946 2114 2224 2416 3892 4228 7784 8456 15568 16912 20989 41978 83956 146923 167912 293846 335824 587692 1175384 2350768 94919249 189838498 379676996 664434743 759353992 1328869486 1518707984 2657738972 5315477944 10630955888 13193775611 14332806599 26387551222 28665613198 52775102444 57331226396 92356429277 100329646193 105550204888 114662452792 184712858554 200659292386 211100409776 229324905584 369425717108 401318584772 738851434216 802637169544 1477702868432 1605274339088 1992260117261 3984520234522 7969040469044 13945820820827 15938080938088 27891641641654 31876161876176 55783283283308 111566566566616 223133133133232