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226705051122 = 231147159745763
BaseRepresentation
bin1101001100100010101…
…1001000110111110010
3210200011110112211201220
43103020223020313302
512203242443113442
6252051420005510
722243651065624
oct3231053106762
9720143484656
10226705051122
1188166100390
1237b2b090896
13184bbb80084
14ad88aa6c14
155d6cb96eec
hex34c8ac8df2

226705051122 has 64 divisors (see below), whose sum is σ = 505480587264. Its totient is φ = 67193259840.

The previous prime is 226705051121. The next prime is 226705051127. The reversal of 226705051122 is 221150507622.

226705051122 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 (33).

It is not an unprimeable number, because it can be changed into a prime (226705051121) 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 31 ways as a sum of consecutive naturals, for example, 4931013 + ... + 4976775.

It is an arithmetic number, because the mean of its divisors is an integer number (7898134176).

Almost surely, 2226705051122 is an apocalyptic number.

226705051122 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 226705051122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252740293632).

226705051122 is an abundant number, since it is smaller than the sum of its proper divisors (278775536142).

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

226705051122 is a wasteful number, since it uses less digits than its factorization.

226705051122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47423.

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 226705051122 its reverse (221150507622), we get a palindrome (447855558744).

The spelling of 226705051122 in words is "two hundred twenty-six billion, seven hundred five million, fifty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 1597 3102 3194 4791 9582 17567 35134 45763 52701 75059 91526 105402 137289 150118 225177 274578 450354 503393 825649 1006786 1510179 1651298 2150861 2476947 3020358 4301722 4953894 6452583 12905166 23659471 47318942 70978413 73083511 141956826 146167022 219250533 438501066 803918621 1607837242 2411755863 3434925017 4823511726 6869850034 10304775051 20609550102 37784175187 75568350374 113352525561 226705051122