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2020224100 = 225229696629
BaseRepresentation
bin111100001101010…
…0010110001100100
312012210102000110211
41320122202301210
513114134132400
6532244225204
7101030423116
oct17032426144
95183360424
102020224100
119474002a4
1248469b204
1326270879b
141524413b6
15bc559dba
hex786a2c64

2020224100 has 36 divisors (see below), whose sum is σ = 4535061300. Its totient is φ = 780223360.

The previous prime is 2020224043. The next prime is 2020224109. The reversal of 2020224100 is 14220202.

It can be written as a sum of positive squares in 6 ways, for example, as 124144164 + 1896079936 = 11142^2 + 43544^2 .

It is not an unprimeable number, because it can be changed into a prime (2020224109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345415 + ... + 351214.

It is an arithmetic number, because the mean of its divisors is an integer number (125973925).

Almost surely, 22020224100 is an apocalyptic number.

2020224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020224100 is an abundant number, since it is smaller than the sum of its proper divisors (2514837200).

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

2020224100 is a wasteful number, since it uses less digits than its factorization.

2020224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696672 (or 696665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2020224100 is about 44946.9031191249. The cubic root of 2020224100 is about 1264.1536100568.

Adding to 2020224100 its reverse (14220202), we get a palindrome (2034444302).

The spelling of 2020224100 in words is "two billion, twenty million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 696629 1393258 2786516 3483145 6966290 13932580 17415725 20202241 34831450 40404482 69662900 80808964 101011205 202022410 404044820 505056025 1010112050 2020224100