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2020222100 = 2252134873191
BaseRepresentation
bin111100001101010…
…0010010010010100
312012210101220201202
41320122202102110
513114134101400
6532244212032
7101030414231
oct17032422224
95183356652
102020222100
119473a9846
1248469a018
132627078c0
14152440788
15bc5594d5
hex786a2494

2020222100 has 72 divisors (see below), whose sum is σ = 4732280448. Its totient is φ = 744163200.

The previous prime is 2020222093. The next prime is 2020222109. The reversal of 2020222100 is 12220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020222109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 631505 + ... + 634695.

Almost surely, 22020222100 is an apocalyptic number.

2020222100 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 2020222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366140224).

2020222100 is an abundant number, since it is smaller than the sum of its proper divisors (2712058348).

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

2020222100 is a wasteful number, since it uses less digits than its factorization.

2020222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2020222100 is about 44946.8808706455. The cubic root of 2020222100 is about 1264.1531928906.

Adding to 2020222100 its reverse (12220202), we get a palindrome (2032442302).

The spelling of 2020222100 in words is "two billion, twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 487 650 974 1300 1948 2435 3191 4870 6331 6382 9740 12175 12662 12764 15955 24350 25324 31655 31910 41483 48700 63310 63820 79775 82966 126620 158275 159550 165932 207415 316550 319100 414830 633100 829660 1037075 1554017 2074150 3108034 4148300 6216068 7770085 15540170 20202221 31080340 38850425 40404442 77700850 80808884 101011105 155401700 202022210 404044420 505055525 1010111050 2020222100