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2199019680 = 25325111359181
BaseRepresentation
bin1000001100010010…
…0110000010100000
312200020211202220100
42003010212002200
514000422112210
61002112342400
7105331234044
oct20304460240
95606752810
102199019680
11a29320040
12514544a00
1329077a3a0
1416c0a4024
15cd0c65c0
hex831260a0

2199019680 has 576 divisors, whose sum is σ = 9015027840. Its totient is φ = 481075200.

The previous prime is 2199019651. The next prime is 2199019681. The reversal of 2199019680 is 869109912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2199019681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12149190 + ... + 12149370.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 22199019680 is an apocalyptic number.

2199019680 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 2199019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507513920).

2199019680 is an abundant number, since it is smaller than the sum of its proper divisors (6816008160).

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

2199019680 is a wasteful number, since it uses less digits than its factorization.

2199019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 2199019680 is about 46893.7061875045. The cubic root of 2199019680 is about 1300.3982369675.

The spelling of 2199019680 in words is "two billion, one hundred ninety-nine million, nineteen thousand, six hundred eighty".