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2085923462220 = 223251321931472477
BaseRepresentation
bin11110010110101010101…
…110100001110001001100
321101102010120222222112200
4132112222232201301030
5233133432401242340
64234132055001500
7303463061611563
oct36265256416114
97342116888480
102085923462220
117346a9461794
12298323669290
13121917947700
1472d601d2bda
15393d6516330
hex1e5aaba1c4c

2085923462220 has 864 divisors, whose sum is σ = 7606173818880. Its totient is φ = 460540753920.

The previous prime is 2085923462167. The next prime is 2085923462243. The reversal of 2085923462220 is 222643295802.

2085923462220 is a `hidden beast` number, since 2 + 0 + 8 + 592 + 34 + 6 + 2 + 2 + 20 = 666.

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 287 ways as a sum of consecutive naturals, for example, 842115622 + ... + 842118098.

It is an arithmetic number, because the mean of its divisors is an integer number (8803441920).

Almost surely, 22085923462220 is an apocalyptic number.

2085923462220 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 2085923462220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803086909440).

2085923462220 is an abundant number, since it is smaller than the sum of its proper divisors (5520250356660).

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

2085923462220 is a wasteful number, since it uses less digits than its factorization.

2085923462220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2085923462220 in words is "two trillion, eighty-five billion, nine hundred twenty-three million, four hundred sixty-two thousand, two hundred twenty".