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2099446440 = 2335713223643
BaseRepresentation
bin111110100100011…
…0000001010101000
312102022110221002120
41331020300022220
513244424241230
6544154231240
7103012000050
oct17510601250
95368427076
102099446440
119880a0203
124a7125520
13275c55c00
1415cb84560
15c44a8310
hex7d2302a8

2099446440 has 384 divisors, whose sum is σ = 8145930240. Its totient is φ = 423042048.

The previous prime is 2099446421. The next prime is 2099446457. The reversal of 2099446440 is 446449902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2099446392 and 2099446401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3264759 + ... + 3265401.

It is an arithmetic number, because the mean of its divisors is an integer number (21213360).

Almost surely, 22099446440 is an apocalyptic number.

2099446440 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 2099446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072965120).

2099446440 is an abundant number, since it is smaller than the sum of its proper divisors (6046483800).

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

2099446440 is a wasteful number, since it uses less digits than its factorization.

2099446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2099446440 is about 45819.7167167149. The cubic root of 2099446440 is about 1280.4666348766.

The spelling of 2099446440 in words is "two billion, ninety-nine million, four hundred forty-six thousand, four hundred forty".