Search a number
-
+
226880050176 = 210321323137127
BaseRepresentation
bin1101001101001100011…
…0101101010000000000
3210200121122211201022100
43103103012231100000
512204122243101201
6252121030510400
722251204415143
oct3232306552000
9720548751270
10226880050176
11882459677aa
1237b79805400
13185191c2900
14ada401c05a
155d7d213886
hex34d31ad400

226880050176 has 792 divisors, whose sum is σ = 757976653824. Its totient is φ = 65213890560.

The previous prime is 226880050171. The next prime is 226880050237. The reversal of 226880050176 is 671050088622.

226880050176 is a `hidden beast` number, since 2 + 2 + 68 + 80 + 0 + 501 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226880050171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1786457025 + ... + 1786457151.

Almost surely, 2226880050176 is an apocalyptic number.

226880050176 is a gapful number since it is divisible by the number (26) 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 226880050176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378988326912).

226880050176 is an abundant number, since it is smaller than the sum of its proper divisors (531096603648).

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

226880050176 is a wasteful number, since it uses less digits than its factorization.

226880050176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 226880050176 in words is "two hundred twenty-six billion, eight hundred eighty million, fifty thousand, one hundred seventy-six".