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226034816500 = 2253452069633
BaseRepresentation
bin1101001010000010111…
…0011001010111110100
3210121102202101101200101
43102200232121113310
512200404403112000
6251501114323444
722221232145053
oct3224056312764
9717382341611
10226034816500
1187951841179
1237982729584
1318413062c3c
14ad23a7a39a
155d2de03e6a
hex34a0b995f4

226034816500 has 24 divisors (see below), whose sum is σ = 493660040328. Its totient is φ = 90413926400.

The previous prime is 226034816489. The next prime is 226034816503. The reversal of 226034816500 is 5618430622.

226034816500 is digitally balanced in base 2, because in such base 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 6791737744 + 219243078756 = 82412^2 + 468234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226034816500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226034816503) 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, 226034317 + ... + 226035316.

It is an arithmetic number, because the mean of its divisors is an integer number (20569168347).

Almost surely, 2226034816500 is an apocalyptic number.

226034816500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226034816500 is an abundant number, since it is smaller than the sum of its proper divisors (267625223828).

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

226034816500 is a wasteful number, since it uses less digits than its factorization.

226034816500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452069652 (or 452069640 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 226034816500 in words is "two hundred twenty-six billion, thirty-four million, eight hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 452069633 904139266 1808278532 2260348165 4520696330 9041392660 11301740825 22603481650 45206963300 56508704125 113017408250 226034816500