Search a number
-
+
2210100020 = 225245944939
BaseRepresentation
bin1000001110111011…
…0111001100110100
312201000200201021022
42003232313030310
514011241200040
61003150040312
7105524353202
oct20356671464
95630621238
102210100020
11a345a8947
125181a9098
13292b598bb
1416d74a072
15ce0646b5
hex83bb7334

2210100020 has 24 divisors (see below), whose sum is σ = 4643200800. Its totient is φ = 883660832.

The previous prime is 2210100017. The next prime is 2210100031. The reversal of 2210100020 is 200010122.

It is a junction number, because it is equal to n+sod(n) for n = 2210099980 and 2210100007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26711 + ... + 71649.

It is an arithmetic number, because the mean of its divisors is an integer number (193466700).

Almost surely, 22210100020 is an apocalyptic number.

2210100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210100020 is an abundant number, since it is smaller than the sum of its proper divisors (2433100780).

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

2210100020 is a wasteful number, since it uses less digits than its factorization.

2210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47407 (or 47405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2210100020 is about 47011.7008839289. The cubic root of 2210100020 is about 1302.5787117968.

Adding to 2210100020 its reverse (200010122), we get a palindrome (2410110142).

The spelling of 2210100020 in words is "two billion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2459 4918 9836 12295 24590 44939 49180 89878 179756 224695 449390 898780 110505001 221010002 442020004 552525005 1105050010 2210100020