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2241200128 = 21717099
BaseRepresentation
bin1000010110010110…
…0000000000000000
312210012012202121011
42011211200000000
514042221401003
61010220410304
7106352613106
oct20545400000
95705182534
102241200128
11a5010a912
125266a6994
1329942852b
14173923c76
15d1b5946d
hex85960000

2241200128 has 36 divisors (see below), whose sum is σ = 4482645300. Its totient is φ = 1120534528.

The previous prime is 2241200107. The next prime is 2241200141. The reversal of 2241200128 is 8210021422.

It is a junction number, because it is equal to n+sod(n) for n = 2241200099 and 2241200108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122523 + ... + 139621.

It is an arithmetic number, because the mean of its divisors is an integer number (124517925).

Almost surely, 22241200128 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 2241200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241322650).

2241200128 is an abundant number, since it is smaller than the sum of its proper divisors (2241445172).

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

2241200128 is an frugal number, since it uses more digits than its factorization.

2241200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17101 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2241200128 is about 47341.3152331027. The cubic root of 2241200128 is about 1308.6601548722.

The spelling of 2241200128 in words is "two billion, two hundred forty-one million, two hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 17099 32768 34198 65536 68396 131072 136792 273584 547168 1094336 2188672 4377344 8754688 17509376 35018752 70037504 140075008 280150016 560300032 1120600064 2241200128