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226689000 = 23353194197
BaseRepresentation
bin11011000001011…
…11111111101000
3120210112222211220
431200233333220
5431013022000
634254422040
75421552606
oct1540577750
9523488756
10226689000
11106a6188a
1263b01920
1337c70205
142216c876
1514d7c1a0
hexd82ffe8

226689000 has 256 divisors, whose sum is σ = 770515200. Its totient is φ = 55296000.

The previous prime is 226688971. The next prime is 226689049. The reversal of 226689000 is 986622.

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 63 ways as a sum of consecutive naturals, for example, 2336952 + ... + 2337048.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2226689000 is an apocalyptic number.

226689000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

226689000 is an abundant number, since it is smaller than the sum of its proper divisors (543826200).

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

226689000 is a wasteful number, since it uses less digits than its factorization.

226689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 226689000 is about 15056.1947383793. The cubic root of 226689000 is about 609.7383093217.

The spelling of 226689000 in words is "two hundred twenty-six million, six hundred eighty-nine thousand".