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226733822898 = 2311831391911559
BaseRepresentation
bin1101001100101001100…
…0111001001110110010
3210200020110200121012020
43103022120321032302
512203322324313043
6252054324412310
722244450460432
oct3231230711662
9720213617166
10226733822898
1188180372010
1237b38847096
13184c4b14cab
14ad8c8362c2
155d7047be83
hex34ca6393b2

226733822898 has 128 divisors (see below), whose sum is σ = 507219148800. Its totient is φ = 66995246400.

The previous prime is 226733822879. The next prime is 226733822899. The reversal of 226733822898 is 898228337622.

It is a happy number.

226733822898 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226733822899) 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 63 ways as a sum of consecutive naturals, for example, 145434643 + ... + 145436201.

It is an arithmetic number, because the mean of its divisors is an integer number (3962649600).

Almost surely, 2226733822898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226733822898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609574400).

226733822898 is an abundant number, since it is smaller than the sum of its proper divisors (280485325902).

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

226733822898 is a wasteful number, since it uses less digits than its factorization.

226733822898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

The product of its digits is 27869184, while the sum is 60.

The spelling of 226733822898 in words is "two hundred twenty-six billion, seven hundred thirty-three million, eight hundred twenty-two thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 83 139 166 191 249 278 382 417 498 573 834 913 1146 1529 1559 1826 2101 2739 3058 3118 4202 4587 4677 5478 6303 9174 9354 11537 12606 15853 17149 23074 26549 31706 34298 34611 47559 51447 53098 69222 79647 95118 102894 126907 129397 159294 174383 216701 253814 258794 292039 297769 348766 380721 388191 433402 523149 584078 595538 650103 761442 776382 876117 893307 1046298 1300206 1423367 1752234 1786614 2203567 2383711 2846734 3275459 4270101 4407134 4767422 6550918 6610701 7151133 8540202 9826377 13221402 14302266 17986183 19652754 24239237 24714827 35972366 41389891 48478474 49429654 53958549 72717711 74144481 82779782 107917098 124169673 145435422 148288962 197848013 248339346 271863097 395696026 455288801 543726194 593544039 815589291 910577602 1187088078 1365866403 1631178582 2731732806 3435360953 6870721906 10306082859 20612165718 37788970483 75577940966 113366911449 226733822898