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226116200340030 = 2357211213421723189
BaseRepresentation
bin110011011010011011000111…
…110011001001101000111110
31002122121111102210002000000210
4303122123013303021220332
5214114141434241340110
62120524203131133250
765425233143421300
oct6332330763115076
91078544383060023
10226116200340030
1166058384289100
122143aa01ba4226
139922887841350
143dba1224d3970
151b21c044b3520
hexcda6c7cc9a3e

226116200340030 has 576 divisors, whose sum is σ = 747471008612160. Its totient is φ = 43358784860160.

The previous prime is 226116200340013. The next prime is 226116200340059. The reversal of 226116200340030 is 30043002611622.

It is a super-2 number, since 2×2261162003400302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 226116200340030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9750999676 + ... + 9751022864.

It is an arithmetic number, because the mean of its divisors is an integer number (1297692723285).

Almost surely, 2226116200340030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226116200340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373735504306080).

226116200340030 is an abundant number, since it is smaller than the sum of its proper divisors (521354808272130).

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

226116200340030 is a wasteful number, since it uses less digits than its factorization.

226116200340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27465 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 226116200340030 its reverse (30043002611622), we get a palindrome (256159202951652).

The spelling of 226116200340030 in words is "two hundred twenty-six trillion, one hundred sixteen billion, two hundred million, three hundred forty thousand, thirty".