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2100212220 = 223552336689
BaseRepresentation
bin111110100101110…
…1011000111111100
312102100220211112210
41331023223013330
513300123242340
6544222500420
7103021336461
oct17513530774
95370824483
102100212220
11988573587
124a7434710
13276163632
1415cd03668
15c45aa180
hex7d2eb1fc

2100212220 has 48 divisors (see below), whose sum is σ = 5882597280. Its totient is φ = 559865856.

The previous prime is 2100212209. The next prime is 2100212227. The reversal of 2100212220 is 222120012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100212196 and 2100212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100212227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310636 + ... + 317324.

It is an arithmetic number, because the mean of its divisors is an integer number (122554110).

Almost surely, 22100212220 is an apocalyptic number.

2100212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100212220 is an abundant number, since it is smaller than the sum of its proper divisors (3782385060).

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

2100212220 is a wasteful number, since it uses less digits than its factorization.

2100212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100212220 is about 45828.0724010949. The cubic root of 2100212220 is about 1280.6223007583.

Adding to 2100212220 its reverse (222120012), we get a palindrome (2322332232).

The spelling of 2100212220 in words is "two billion, one hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5233 6689 10466 13378 15699 20067 20932 26165 26756 31398 33445 40134 52330 62796 66890 78495 80268 100335 104660 133780 156990 200670 313980 401340 35003537 70007074 105010611 140014148 175017685 210021222 350035370 420042444 525053055 700070740 1050106110 2100212220