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226860706800 = 2433527131912149
BaseRepresentation
bin1101001101000111110…
…0111010101111110000
3210200120022102222012000
43103101330322233300
512204102320104200
6252115100134000
722250551122360
oct3232174725760
9720508388160
10226860706800
1188235a55842
1237b73237300
13185151ac320
14ada16249a0
155d7b692300
hex34d1f3abf0

226860706800 has 960 divisors, whose sum is σ = 1046183040000. Its totient is φ = 45342167040.

The previous prime is 226860706789. The next prime is 226860706801. The reversal of 226860706800 is 8607068622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226860706801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18667126 + ... + 18679274.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774000).

Almost surely, 2226860706800 is an apocalyptic number.

226860706800 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 226860706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523091520000).

226860706800 is an abundant number, since it is smaller than the sum of its proper divisors (819322333200).

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

226860706800 is a wasteful number, since it uses less digits than its factorization.

226860706800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12215 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 226860706800 in words is "two hundred twenty-six billion, eight hundred sixty million, seven hundred six thousand, eight hundred".