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228399993822 = 2371113233744687
BaseRepresentation
bin1101010010110110110…
…0110101001111011110
3210211112120212212000110
43110231230311033132
512220230344300242
6252531524310450
722333651625550
oct3245554651736
9724476785013
10228399993822
1188955929980
1238322842426
13186cc078750
14b0a9c334d0
155e1b89c39c
hex352db353de

228399993822 has 256 divisors, whose sum is σ = 657303994368. Its totient is φ = 50963489280.

The previous prime is 228399993803. The next prime is 228399993823.

228399993822 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228399993823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5088763 + ... + 5133449.

It is an arithmetic number, because the mean of its divisors is an integer number (2567593728).

Almost surely, 2228399993822 is an apocalyptic number.

228399993822 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228399993822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328651997184).

228399993822 is an abundant number, since it is smaller than the sum of its proper divisors (428904000546).

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

228399993822 is a wasteful number, since it uses less digits than its factorization.

228399993822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44783.

The product of its digits is 60466176, while the sum is 66.

It can be divided in two parts, 228399 and 993822, that added together give a palindrome (1222221).

The spelling of 228399993822 in words is "two hundred twenty-eight billion, three hundred ninety-nine million, nine hundred ninety-three thousand, eight hundred twenty-two".