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226813110000 = 24354591271009
BaseRepresentation
bin1101001100111100011…
…1010110011011110000
3210200102222212210122120
43103033013112123300
512204003124010000
6252110240034240
722246432424241
oct3231707263360
9720388783576
10226813110000
11882110a6644
1237b5b302980
1318508385a39
14ad99194cc8
155d773de6a0
hex34cf1d66f0

226813110000 has 400 divisors, whose sum is σ = 751199539200. Its totient is φ = 58931712000.

The previous prime is 226813109983. The next prime is 226813110037. The reversal of 226813110000 is 11318622.

It is a Cunningham number, because it is equal to 4762492-1.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224789496 + ... + 224790504.

It is an arithmetic number, because the mean of its divisors is an integer number (1877998848).

Almost surely, 2226813110000 is an apocalyptic number.

226813110000 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 226813110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375599769600).

226813110000 is an abundant number, since it is smaller than the sum of its proper divisors (524386429200).

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

226813110000 is a wasteful number, since it uses less digits than its factorization.

226813110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 226813110000 its reverse (11318622), we get a palindrome (226824428622).

The spelling of 226813110000 in words is "two hundred twenty-six billion, eight hundred thirteen million, one hundred ten thousand".