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226745959800 = 233522931420367
BaseRepresentation
bin1101001100101100011…
…1001100010101111000
3210200021022112012220010
43103023013030111320
512203333431203200
6252055440501520
722244655600123
oct3231307142570
9720238465803
10226745959800
1188187201708
1237b4091a8a0
13184c74a43a9
14ad902b53ba
155d71578150
hex34cb1cc578

226745959800 has 192 divisors, whose sum is σ = 750609100800. Its totient is φ = 56497190400.

The previous prime is 226745959789. The next prime is 226745959837. The reversal of 226745959800 is 8959547622.

226745959800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 329217 + ... + 749583.

It is an arithmetic number, because the mean of its divisors is an integer number (3909422400).

Almost surely, 2226745959800 is an apocalyptic number.

226745959800 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 226745959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375304550400).

226745959800 is an abundant number, since it is smaller than the sum of its proper divisors (523863141000).

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

226745959800 is a wasteful number, since it uses less digits than its factorization.

226745959800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420446 (or 420437 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 226745959800 in words is "two hundred twenty-six billion, seven hundred forty-five million, nine hundred fifty-nine thousand, eight hundred".