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2198806848 = 26327619881
BaseRepresentation
bin1000001100001111…
…0010000101000000
312200020102221221200
42003003302011000
514000343304343
61002104021200
7105326356410
oct20303620500
95606387850
102198806848
11a29195147
12514461800
13290704554
1416c04a640
15cd0834d3
hex830f2140

2198806848 has 168 divisors, whose sum is σ = 7222662720. Its totient is φ = 626503680.

The previous prime is 2198806847. The next prime is 2198806861. The reversal of 2198806848 is 8486088912.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 2198806794 and 2198806803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198806847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495368 + ... + 2496248.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 22198806848 is an apocalyptic number.

2198806848 is a gapful number since it is divisible by the number (28) 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 2198806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611331360).

2198806848 is an abundant number, since it is smaller than the sum of its proper divisors (5023855872).

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

2198806848 is a wasteful number, since it uses less digits than its factorization.

2198806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2198806848 is about 46891.4368301932. The cubic root of 2198806848 is about 1300.3562826231.

The spelling of 2198806848 in words is "two billion, one hundred ninety-eight million, eight hundred six thousand, eight hundred forty-eight".