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226214104180 = 22560118819809
BaseRepresentation
bin1101001010101101101…
…0010100110001110100
3210121220020202011010211
43102223122110301310
512201241302313210
6251531001155204
722225540105501
oct3225332246164
9717806664124
10226214104180
1187a33a67709
1237a1278bb04
131844124781c
14ad3d7ca4a8
155d3ea1b38a
hex34ab694c74

226214104180 has 24 divisors (see below), whose sum is σ = 475840076040. Its totient is φ = 90335078400.

The previous prime is 226214104169. The next prime is 226214104183. The reversal of 226214104180 is 81401412622.

226214104180 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27151789284 + 199062314896 = 164778^2 + 446164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226214104183) 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 7 ways as a sum of consecutive naturals, for example, 9397885 + ... + 9421924.

It is an arithmetic number, because the mean of its divisors is an integer number (19826669835).

Almost surely, 2226214104180 is an apocalyptic number.

226214104180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226214104180 is an abundant number, since it is smaller than the sum of its proper divisors (249625971860).

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

226214104180 is a wasteful number, since it uses less digits than its factorization.

226214104180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820419 (or 18820417 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 226214104180 in words is "two hundred twenty-six billion, two hundred fourteen million, one hundred four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 601 1202 2404 3005 6010 12020 18819809 37639618 75279236 94099045 188198090 376396180 11310705209 22621410418 45242820836 56553526045 113107052090 226214104180