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2210012020 = 225532084917
BaseRepresentation
bin1000001110111010…
…0001101101110100
312201000112020120001
42003232201231310
514011230341040
61003144121044
7105523535506
oct20356415564
95630466501
102210012020
11a34548817
12518166184
13292b28828
1416d725d76
15ce04859a
hex83ba1b74

2210012020 has 24 divisors (see below), whose sum is σ = 4728594024. Its totient is φ = 867325056.

The previous prime is 2210012003. The next prime is 2210012027. The reversal of 2210012020 is 202100122.

2210012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 942367204 + 1267644816 = 30698^2 + 35604^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2210011988 and 2210012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210012027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041399 + ... + 1043518.

It is an arithmetic number, because the mean of its divisors is an integer number (197024751).

Almost surely, 22210012020 is an apocalyptic number.

2210012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210012020 is an abundant number, since it is smaller than the sum of its proper divisors (2518582004).

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

2210012020 is a wasteful number, since it uses less digits than its factorization.

2210012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084979 (or 2084977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2210012020 is about 47010.7649374056. The cubic root of 2210012020 is about 1302.5614232205.

Adding to 2210012020 its reverse (202100122), we get a palindrome (2412112142).

The spelling of 2210012020 in words is "two billion, two hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2084917 4169834 8339668 10424585 20849170 41698340 110500601 221001202 442002404 552503005 1105006010 2210012020