Search a number
-
+
226280128300480 = 265977289952587
BaseRepresentation
bin110011011100110011110010…
…101010101100010111000000
31002200012011120012110012210101
4303130303302222230113000
5214124333200321103410
62121131353400212144
765443125344201242
oct6334636252542700
91080164505405711
10226280128300480
1166110955351071
122146673116a054
1399351807c8707
143dc4033968092
151b260eabe5d3a
hexcdccf2aac5c0

226280128300480 has 56 divisors (see below), whose sum is σ = 544384499461488. Its totient is φ = 89578937376768.

The previous prime is 226280128300463. The next prime is 226280128300487. The reversal of 226280128300480 is 84003821082622.

226280128300480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226280128300480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226280128300487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644945254 + ... + 3645007333.

It is an arithmetic number, because the mean of its divisors is an integer number (9721151776098).

Almost surely, 2226280128300480 is an apocalyptic number.

226280128300480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226280128300480 is an abundant number, since it is smaller than the sum of its proper divisors (318104371161008).

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

226280128300480 is an equidigital number, since it uses as much as digits as its factorization.

226280128300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289952701 (or 7289952691 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 226280128300480 in words is "two hundred twenty-six trillion, two hundred eighty billion, one hundred twenty-eight million, three hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 6208 7760 15520 31040 7289952587 14579905174 29159810348 36449762935 58319620696 72899525870 116639241392 145799051740 233278482784 291598103480 466556965568 583196206960 707125400939 1166392413920 1414250801878 2332784827840 2828501603756 3535627004695 5657003207512 7071254009390 11314006415024 14142508018780 22628012830048 28285016037560 45256025660096 56570032075120 113140064150240 226280128300480