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226180988928 = 220342663
BaseRepresentation
bin1101001010100101110…
…0000000000000000000
3210121210221102201120000
43102221130000000000
512201204313121203
6251523415320000
722224655453536
oct3225134000000
9717727381500
10226180988928
1187a172a9734
1237a03680000
13184374218bb
14ad3924a156
155d3bb794a3
hex34a9700000

226180988928 has 210 divisors, whose sum is σ = 676004041944. Its totient is φ = 75365351424.

The previous prime is 226180988921. The next prime is 226180988941. The reversal of 226180988928 is 829889081622.

226180988928 is a `hidden beast` number, since 2 + 2 + 618 + 0 + 9 + 8 + 8 + 9 + 2 + 8 = 666.

226180988928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226180988921) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84933325 + ... + 84935987.

Almost surely, 2226180988928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226180988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338002020972).

226180988928 is an abundant number, since it is smaller than the sum of its proper divisors (449823053016).

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

226180988928 is an frugal number, since it uses more digits than its factorization.

226180988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 226180988928 in words is "two hundred twenty-six billion, one hundred eighty million, nine hundred eighty-eight thousand, nine hundred twenty-eight".