Search a number
-
+
228215396724480 = 283251121757716691
BaseRepresentation
bin110011111000111110001001…
…101001110110111100000000
31002221001011211101102021221200
4303320332021221312330000
5214403040113030140410
62125212412251021200
766033006164322354
oct6370761151667400
91087034741367850
10228215396724480
1166797673984800
122171980a73a800
139a45809267699
14404d9813b7464
151b5b615d8c3c0
hexcf8f89a76f00

228215396724480 has 1296 divisors, whose sum is σ = 920610371614752. Its totient is φ = 51977178316800.

The previous prime is 228215396724479. The next prime is 228215396724487. The reversal of 228215396724480 is 84427693512822.

228215396724480 is a `hidden beast` number, since 2 + 2 + 8 + 21 + 53 + 9 + 67 + 24 + 480 = 666.

It is a super-2 number, since 2×2282153967244802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228215396724487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13672952935 + ... + 13672969625.

It is an arithmetic number, because the mean of its divisors is an integer number (710347508962).

It is a 1-persistent number, because it is pandigital, but 2⋅228215396724480 = 456430793448960 is not.

Almost surely, 2228215396724480 is an apocalyptic number.

228215396724480 is a gapful number since it is divisible by the number (20) 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 228215396724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460305185807376).

228215396724480 is an abundant number, since it is smaller than the sum of its proper divisors (692394974890272).

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

228215396724480 is a wasteful number, since it uses less digits than its factorization.

228215396724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17334 (or 17306 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 228215396724480 in words is "two hundred twenty-eight trillion, two hundred fifteen billion, three hundred ninety-six million, seven hundred twenty-four thousand, four hundred eighty".