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226222345734 = 237211181386471
BaseRepresentation
bin1101001010101111100…
…1110000111000000110
3210121220211020212102120
43102223321300320012
512201300410030414
6251531453550410
722226000132400
oct3225371607006
9717824225376
10226222345734
1187a38686710
1237a154a5406
1318442b71b98
14ad40933b70
155d405e82a9
hex34abe70e06

226222345734 has 96 divisors (see below), whose sum is σ = 577333516032. Its totient is φ = 58434264000.

The previous prime is 226222345733. The next prime is 226222345771. The reversal of 226222345734 is 437543222622.

226222345734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226222345733) 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 47 ways as a sum of consecutive naturals, for example, 392119 + ... + 778589.

It is an arithmetic number, because the mean of its divisors is an integer number (6013890792).

Almost surely, 2226222345734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226222345734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288666758016).

226222345734 is an abundant number, since it is smaller than the sum of its proper divisors (351111170298).

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

226222345734 is a wasteful number, since it uses less digits than its factorization.

226222345734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386682 (or 386675 counting only the distinct ones).

The product of its digits is 967680, while the sum is 42.

The spelling of 226222345734 in words is "two hundred twenty-six billion, two hundred twenty-two million, three hundred forty-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 181 231 294 362 462 539 543 1078 1086 1267 1617 1991 2534 3234 3801 3982 5973 7602 8869 11946 13937 17738 26607 27874 41811 53214 83622 97559 195118 292677 386471 585354 772942 1159413 2318826 2705297 4251181 5410594 8115891 8502362 12753543 16231782 18937079 25507086 29758267 37874158 56811237 59516534 69951251 89274801 113622474 139902502 178549602 208307869 209853753 416615738 419707506 489658757 624923607 769463761 979317514 1249847214 1468976271 1538927522 2308391283 2937952542 3427611299 4616782566 5386246327 6855222598 10282833897 10772492654 16158738981 20565667794 32317477962 37703724289 75407448578 113111172867 226222345734