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226611661752 = 23327449626313
BaseRepresentation
bin1101001100001100011…
…0111000101110111000
3210122220221211011121100
43103003012320232320
512203100041134002
6252034242211400
722241435225460
oct3230306705670
9718827734540
10226611661752
1188118414593
1237b03953b60
13184a57124a8
14ad7a516ba0
155d6489b11c
hex34c31b8bb8

226611661752 has 48 divisors (see below), whose sum is σ = 701417049840. Its totient is φ = 64746188928.

The previous prime is 226611661729. The next prime is 226611661753. The reversal of 226611661752 is 257166116622.

226611661752 is a `hidden beast` number, since 2 + 26 + 6 + 1 + 1 + 6 + 617 + 5 + 2 = 666.

226611661752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226611661698 and 226611661707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226611661753) 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 11 ways as a sum of consecutive naturals, for example, 224812653 + ... + 224813660.

It is an arithmetic number, because the mean of its divisors is an integer number (14612855205).

Almost surely, 2226611661752 is an apocalyptic number.

It is an amenable number.

226611661752 is an abundant number, since it is smaller than the sum of its proper divisors (474805388088).

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

226611661752 is a wasteful number, since it uses less digits than its factorization.

226611661752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449626332 (or 449626325 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 226611661752 in words is "two hundred twenty-six billion, six hundred eleven million, six hundred sixty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 449626313 899252626 1348878939 1798505252 2697757878 3147384191 3597010504 4046636817 5395515756 6294768382 8093273634 9442152573 10791031512 12589536764 16186547268 18884305146 25179073528 28326457719 32373094536 37768610292 56652915438 75537220584 113305830876 226611661752