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226492231744 = 261923121012
BaseRepresentation
bin1101001011101111111…
…1010011000001000000
3210122121122002111102201
43102323333103001000
512202324002403434
6252014334322544
722235455130152
oct3227377230100
9718548074381
10226492231744
1188066a61aa9
1237a8b959454
1318486a57b4c
14ad68708ad2
155d59159614
hex34bbfd3040

226492231744 has 189 divisors, whose sum is σ = 495041542173. Its totient is φ = 102796992000.

The previous prime is 226492231699. The next prime is 226492231781. The reversal of 226492231744 is 447132294622.

The square root of 226492231744 is 475912.

It is a perfect power (a square), and thus also a powerful number.

226492231744 is digitally balanced in base 2, 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 only one way, i.e., 217611054144 + 8881177600 = 466488^2 + 94240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226492231694 and 226492231703.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2242497294 + ... + 2242497394.

Almost surely, 2226492231744 is an apocalyptic number.

226492231744 is the 475912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226492231744

226492231744 is an abundant number, since it is smaller than the sum of its proper divisors (268549310429).

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

226492231744 is an equidigital number, since it uses as much as digits as its factorization.

226492231744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 153 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The spelling of 226492231744 in words is "two hundred twenty-six billion, four hundred ninety-two million, two hundred thirty-one thousand, seven hundred forty-four".