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228118821481188 = 22331129731371574217
BaseRepresentation
bin110011110111100100001101…
…010100100010101011100100
31002220200221112220001121201000
4303313210031110202223210
5214344444321244344223
62125100201224233300
766023020024311321
oct6367441524425344
91086627486047630
10228118821481188
116675a715754050
1221702b5790b830
139a3968813b301
14404901d129b48
151b58d6264a543
hexcf790d522ae4

228118821481188 has 768 divisors, whose sum is σ = 686017193702400. Its totient is φ = 64916805058560.

The previous prime is 228118821481157. The next prime is 228118821481193. The reversal of 228118821481188 is 881184128811822.

228118821481188 is a `hidden beast` number, since 2 + 2 + 8 + 118 + 8 + 21 + 481 + 18 + 8 = 666.

228118821481188 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

228118821481188 is an astonishing number since 228118821481188 = 2281188 + ... + 21481188.

It is a super-2 number, since 2×2281188214811882 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54095046856 + ... + 54095051072.

It is an arithmetic number, because the mean of its divisors is an integer number (893251554300).

Almost surely, 2228118821481188 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 228118821481188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343008596851200).

228118821481188 is an abundant number, since it is smaller than the sum of its proper divisors (457898372221212).

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

228118821481188 is a wasteful number, since it uses less digits than its factorization.

228118821481188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its digits is 8388608, while the sum is 63.

The spelling of 228118821481188 in words is "two hundred twenty-eight trillion, one hundred eighteen billion, eight hundred twenty-one million, four hundred eighty-one thousand, one hundred eighty-eight".