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226954081953 = 3316351568753
BaseRepresentation
bin1101001101011110000…
…1000111011010100001
3210200210211010220211000
43103113201013122201
512204300221110303
6252132233342213
722253063603214
oct3232741073241
9720724126730
10226954081953
1188283731995
1237b9a567969
131852b6435b1
14adadbad77b
155d84988da3
hex34d78476a1

226954081953 has 16 divisors (see below), whose sum is σ = 338291026240. Its totient is φ = 150374480832.

The previous prime is 226954081951. The next prime is 226954081961. The reversal of 226954081953 is 359180459622.

226954081953 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 540 + 8 + 1 + 95 + 3 = 666.

226954081953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226954081953 - 21 = 226954081951 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226954081953.

It is not an unprimeable number, because it can be changed into a prime (226954081951) 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 15 ways as a sum of consecutive naturals, for example, 25779976 + ... + 25788777.

It is an arithmetic number, because the mean of its divisors is an integer number (21143189140).

Almost surely, 2226954081953 is an apocalyptic number.

It is an amenable number.

226954081953 is a deficient number, since it is larger than the sum of its proper divisors (111336944287).

226954081953 is a wasteful number, since it uses less digits than its factorization.

226954081953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51568925 (or 51568919 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 226954081953 in words is "two hundred twenty-six billion, nine hundred fifty-four million, eighty-one thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 163 489 1467 4401 51568753 154706259 464118777 1392356331 8405706739 25217120217 75651360651 226954081953