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226107456966 = 2353607128983
BaseRepresentation
bin1101001010010100001…
…1011111110111000110
3210121121211001220200000
43102211003133313012
512201032002110331
6251512231302130
722223103446616
oct3224503376706
9717554056600
10226107456966
1187989846016
12379a2b1a946
1318425117571
14ad2d588a46
155d354a20e6
hex34a50dfdc6

226107456966 has 48 divisors (see below), whose sum is σ = 508188705024. Its totient is φ = 75347672904.

The previous prime is 226107456941. The next prime is 226107456983. The reversal of 226107456966 is 669654701622.

226107456966 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 74 + 569 + 6 + 6 = 666.

It is a super-2 number, since 2×2261074569662 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688511 + ... + 1817493.

It is an arithmetic number, because the mean of its divisors is an integer number (10587264688).

Almost surely, 2226107456966 is an apocalyptic number.

226107456966 is an abundant number, since it is smaller than the sum of its proper divisors (282081248058).

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

226107456966 is a wasteful number, since it uses less digits than its factorization.

226107456966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132607 (or 132595 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 226107456966 in words is "two hundred twenty-six billion, one hundred seven million, four hundred fifty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 3607 7214 10821 21642 32463 64926 97389 128983 194778 257966 292167 386949 584334 773898 876501 1160847 1753002 2321694 3482541 6965082 10447623 20895246 31342869 62685738 465241681 930483362 1395725043 2791450086 4187175129 8374350258 12561525387 25123050774 37684576161 75369152322 113053728483 226107456966