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226966541796 = 223221997286613
BaseRepresentation
bin1101001101100001000…
…0101001010111100100
3210200211200120221111200
43103120100221113210
512204311413314141
6252133400402500
722253304526251
oct3233020512744
9720750527450
10226966541796
118828a772185
1237ba2776430
13185310b6997
14adb16d4428
155d85aeaab6
hex34d84295e4

226966541796 has 36 divisors (see below), whose sum is σ = 573749064252. Its totient is φ = 75651810624.

The previous prime is 226966541777. The next prime is 226966541821. The reversal of 226966541796 is 697145669622.

226966541796 is a `hidden beast` number, since 2 + 26 + 9 + 66 + 541 + 7 + 9 + 6 = 666.

226966541796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117967519296 + 108999022500 = 343464^2 + 330150^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2269665417962 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648586 + ... + 935198.

It is an arithmetic number, because the mean of its divisors is an integer number (15937474007).

Almost surely, 2226966541796 is an apocalyptic number.

It is an amenable number.

226966541796 is an abundant number, since it is smaller than the sum of its proper divisors (346782522456).

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

226966541796 is a wasteful number, since it uses less digits than its factorization.

226966541796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308620 (or 308615 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 226966541796 in words is "two hundred twenty-six billion, nine hundred sixty-six million, five hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 21997 43994 65991 87988 131982 197973 263964 286613 395946 573226 791892 859839 1146452 1719678 2579517 3439356 5159034 10318068 6304626161 12609252322 18913878483 25218504644 37827756966 56741635449 75655513932 113483270898 226966541796