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226656656622 = 23311617618439
BaseRepresentation
bin1101001100010111001…
…0100001110011101110
3210200001002111010222000
43103011302201303232
512203143101002442
6252042530433130
722242522536034
oct3230562416356
9720032433860
10226656656622
1188140856930
1237b16a327a6
13184b1b37686
14ad824aa554
155d687d7d4c
hex34c5ca1cee

226656656622 has 64 divisors (see below), whose sum is σ = 550362124800. Its totient is φ = 68572405440.

The previous prime is 226656656621. The next prime is 226656656659.

226656656622 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 5 + 6 + 6 + 5 + 6 + 622 = 666.

226656656622 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226656656621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57279 + ... + 675717.

It is an arithmetic number, because the mean of its divisors is an integer number (8599408200).

Almost surely, 2226656656622 is an apocalyptic number.

226656656622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226656656622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275181062400).

226656656622 is an abundant number, since it is smaller than the sum of its proper divisors (323705468178).

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

226656656622 is a wasteful number, since it uses less digits than its factorization.

226656656622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619078 (or 619072 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 226656656622 in words is "two hundred twenty-six billion, six hundred fifty-six million, six hundred fifty-six thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 617 1234 1851 3702 5553 6787 11106 13574 16659 20361 33318 40722 61083 122166 183249 366498 618439 1236878 1855317 3710634 5565951 6802829 11131902 13605658 16697853 20408487 33395706 40816974 61225461 122450922 183676383 367352766 381576863 763153726 1144730589 2289461178 3434191767 4197345493 6868383534 8394690986 10302575301 12592036479 20605150602 25184072958 37776109437 75552218874 113328328311 226656656622