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226686100 = 22522266861
BaseRepresentation
bin11011000001011…
…11010010010100
3120210112211212111
431200233102110
5431012423400
634254400404
75421541264
oct1540572224
9523484774
10226686100
11106a5a693
1263b00104
1337c6bab4
142216b7a4
1514d7b3ba
hexd82f494

226686100 has 18 divisors (see below), whose sum is σ = 491909054. Its totient is φ = 90674400.

The previous prime is 226686077. The next prime is 226686139. The reversal of 226686100 is 1686622.

It can be written as a sum of positive squares in 3 ways, for example, as 38118276 + 188567824 = 6174^2 + 13732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1133331 + ... + 1133530.

Almost surely, 2226686100 is an apocalyptic number.

226686100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226686100 is an abundant number, since it is smaller than the sum of its proper divisors (265222954).

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

226686100 is a wasteful number, since it uses less digits than its factorization.

226686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266875 (or 2266868 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 226686100 is about 15056.0984321968. The cubic root of 226686100 is about 609.7357092123.

The spelling of 226686100 in words is "two hundred twenty-six million, six hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2266861 4533722 9067444 11334305 22668610 45337220 56671525 113343050 226686100