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20199422880 = 25325721319261
BaseRepresentation
bin10010110011111110…
…101011101110100000
31221010201210000000100
4102303332223232200
5312332023013010
613140211422400
71313363155500
oct226376535640
957121700010
1020199422880
11862605841a
123ab88b4a00
131b9babc340
14d98997a00
157d350e2c0
hex4b3fabba0

20199422880 has 1296 divisors, whose sum is σ = 92630649384. Its totient is φ = 3971358720.

The previous prime is 20199422869. The next prime is 20199422921. The reversal of 20199422880 is 8822499102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6625308816 + 13574114064 = 81396^2 + 116508^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 331138050 + ... + 331138110.

Almost surely, 220199422880 is an apocalyptic number.

20199422880 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 20199422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46315324692).

20199422880 is an abundant number, since it is smaller than the sum of its proper divisors (72431226504).

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

20199422880 is a wasteful number, since it uses less digits than its factorization.

20199422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 20199422880 in words is "twenty billion, one hundred ninety-nine million, four hundred twenty-two thousand, eight hundred eighty".