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2088019220004 = 22322323722832
BaseRepresentation
bin11110011000100111101…
…001001101011000100100
321101121112122112111202100
4132120213221031120210
5233202230410020004
64235120042212100
7303566030346564
oct36304751153044
97347478474670
102088019220004
11735584462613
122988094b4030
13121b8cbab683
14730bc696da4
15394aa4e1739
hex1e627a4d624

2088019220004 has 243 divisors, whose sum is σ = 5690766943953. Its totient is φ = 645463266624.

The previous prime is 2088019219987. The next prime is 2088019220033. The reversal of 2088019220004 is 4000229108802.

The square root of 2088019220004 is 1444998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1868388272100 + 219630947904 = 1366890^2 + 468648^2 .

It is a super-2 number, since 2×20880192200042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7378159647 + ... + 7378159929.

Almost surely, 22088019220004 is an apocalyptic number.

2088019220004 is the 1444998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088019220004

2088019220004 is an abundant number, since it is smaller than the sum of its proper divisors (3602747723949).

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

2088019220004 is a wasteful number, since it uses less digits than its factorization.

2088019220004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 2088019220004 by its sum of digits (36), we get a square (75168691920144 = 86699882).

2088019220004 divided by its sum of digits (36) gives a square (58000533889 = 2408332).

The spelling of 2088019220004 in words is "two trillion, eighty-eight billion, nineteen million, two hundred twenty thousand, four".