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226002115233 = 32416783241457
BaseRepresentation
bin1101001001111011000…
…1101001101010100001
3210121100110211222222100
43102132301221222201
512200323020141413
6251453545401013
722220354166066
oct3223661515241
9717313758870
10226002115233
1187935336234
1237973799169
131840935358b
14ad1d5a6c6d
155d2b0e4a73
hex349ec69aa1

226002115233 has 96 divisors (see below), whose sum is σ = 345669996672. Its totient is φ = 142149427200.

The previous prime is 226002115219. The next prime is 226002115237. The reversal of 226002115233 is 332511200622.

It is a happy number.

226002115233 is a `hidden beast` number, since 2 + 2 + 600 + 2 + 1 + 1 + 52 + 3 + 3 = 666.

226002115233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226002115233 - 210 = 226002114209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226002115197 and 226002115206.

It is not an unprimeable number, because it can be changed into a prime (226002115237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494533941 + ... + 494534397.

It is an arithmetic number, because the mean of its divisors is an integer number (3600729132).

Almost surely, 2226002115233 is an apocalyptic number.

It is an amenable number.

226002115233 is a deficient number, since it is larger than the sum of its proper divisors (119667881439).

226002115233 is a wasteful number, since it uses less digits than its factorization.

226002115233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 226002115233 its reverse (332511200622), we get a palindrome (558513315855).

The spelling of 226002115233 in words is "two hundred twenty-six billion, two million, one hundred fifteen thousand, two hundred thirty-three".

Divisors: 1 3 9 41 67 83 123 201 241 249 369 457 603 723 747 1371 2169 2747 3403 4113 5561 8241 9881 10209 16147 16683 18737 20003 24723 29643 30619 30627 37931 48441 50049 56211 60009 88929 91857 110137 113793 145323 168633 180027 228001 275571 330411 341379 662027 684003 820123 991233 1255379 1340201 1555171 1986081 2052009 2460369 2541377 3766137 4020603 4515617 4665513 5958243 7379179 7381107 7624131 9141371 11298411 12061809 13546851 13996539 22137537 22872393 27424113 40640553 54948241 66412611 82272339 104196457 164844723 302546339 312589371 374796211 494534169 612471857 907639017 937768113 1124388633 1837415571 2722917051 3373165899 5512246713 25111346137 75334038411 226002115233