Search a number
-
+
228081251393856 = 2633747616576883
BaseRepresentation
bin110011110111000001001101…
…111110000010000101000000
31002220120100120120022102202000
4303313001031332002011000
5214343340400324100411
62125031025211024000
766020220013660110
oct6367011576020500
91086510516272660
10228081251393856
11667457963893a3
12216b781173b000
139a35c7b6189c3
144047297567040
151b57db4147956
hexcf704df82140

228081251393856 has 448 divisors, whose sum is σ = 795438867701760. Its totient is φ = 62733983569920.

The previous prime is 228081251393843. The next prime is 228081251393867. The reversal of 228081251393856 is 658393152180822.

It is a happy number.

228081251393856 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 81 + 2 + 513 + 9 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 228081251393793 and 228081251393802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31390791 + ... + 37967673.

Almost surely, 2228081251393856 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 228081251393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397719433850880).

228081251393856 is an abundant number, since it is smaller than the sum of its proper divisors (567357616307904).

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

228081251393856 is a wasteful number, since it uses less digits than its factorization.

228081251393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577019 (or 6577003 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 228081251393856 in words is "two hundred twenty-eight trillion, eighty-one billion, two hundred fifty-one million, three hundred ninety-three thousand, eight hundred fifty-six".