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229403550781440 = 212365719235023
BaseRepresentation
bin110100001010010000101101…
…001001111001000000000000
31010002020202122212220011000000
4310022100231021321000000
5220032021433000001230
62131522311504000000
766214600562216340
oct6412205511710000
91102222585804000
10229403550781440
1167105554972522
122188bb41000000
139b0087b5aa229
144091296546d20
151b7c4a5ad8b60
hexd0a42d279000

229403550781440 has 2912 divisors, whose sum is σ = 1036308817428480. Its totient is φ = 47506097700864.

The previous prime is 229403550781411. The next prime is 229403550781441. The reversal of 229403550781440 is 44187055304922.

It is a happy number.

229403550781440 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 0 + 3 + 550 + 7 + 81 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×2294035507814402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (229403550781441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45670622769 + ... + 45670627791.

Almost surely, 2229403550781440 is an apocalyptic number.

229403550781440 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 229403550781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518154408714240).

229403550781440 is an abundant number, since it is smaller than the sum of its proper divisors (806905266647040).

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

229403550781440 is an equidigital number, since it uses as much as digits as its factorization.

229403550781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 229403550781440 in words is "two hundred twenty-nine trillion, four hundred three billion, five hundred fifty million, seven hundred eighty-one thousand, four hundred forty".