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114448020228 = 2233171913923603
BaseRepresentation
bin110101010010110100…
…0100011001100000100
3101221102002010211001000
41222211220203030010
53333342143121403
6124324322133300
711161062056313
oct1524550431404
9357362124030
10114448020228
114459aa18593
121a2204b1230
13aa3bba4139
145779c3c27a
152e9c8697a3
hex1aa5a23304

114448020228 has 192 divisors, whose sum is σ = 333099648000. Its totient is φ = 33769363968.

The previous prime is 114448020221. The next prime is 114448020257. The reversal of 114448020228 is 822020844411.

It is a happy number.

114448020228 is a `hidden beast` number, since 1 + 1 + 4 + 448 + 0 + 202 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114448020192 and 114448020201.

It is not an unprimeable number, because it can be changed into a prime (114448020221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4837075 + ... + 4860677.

It is an arithmetic number, because the mean of its divisors is an integer number (1734894000).

Almost surely, 2114448020228 is an apocalyptic number.

114448020228 is a gapful number since it is divisible by the number (18) 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 114448020228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166549824000).

114448020228 is an abundant number, since it is smaller than the sum of its proper divisors (218651627772).

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

114448020228 is a wasteful number, since it uses less digits than its factorization.

114448020228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23791 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 114448020228 its reverse (822020844411), we get a palindrome (936468864639).

The spelling of 114448020228 in words is "one hundred fourteen billion, four hundred forty-eight million, twenty thousand, two hundred twenty-eight".