Search a number
-
+
2021002220 = 225312711481
BaseRepresentation
bin111100001110110…
…0000101111101100
312012211212112212002
41320131200233230
513114334032340
6532313031432
7101040143516
oct17035405754
95184775762
102021002220
11947891976
124849b5578
1326291ba03
141525a4bb6
15bc660715
hex78760bec

2021002220 has 72 divisors (see below), whose sum is σ = 4450197024. Its totient is φ = 770784000.

The previous prime is 2021002219. The next prime is 2021002267. The reversal of 2021002220 is 222001202.

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 23 ways as a sum of consecutive naturals, for example, 1363880 + ... + 1365360.

It is an arithmetic number, because the mean of its divisors is an integer number (61808292).

Almost surely, 22021002220 is an apocalyptic number.

2021002220 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 2021002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225098512).

2021002220 is an abundant number, since it is smaller than the sum of its proper divisors (2429194804).

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

2021002220 is a wasteful number, since it uses less digits than its factorization.

2021002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1590 counting only the distinct ones).

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

The square root of 2021002220 is about 44955.5582770362. The cubic root of 2021002220 is about 1264.3158918788.

Adding to 2021002220 its reverse (222001202), we get a palindrome (2243003422).

The spelling of 2021002220 in words is "two billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 961 1420 1481 1922 2201 2962 3844 4402 4805 5924 7405 8804 9610 11005 14810 19220 22010 29620 44020 45911 68231 91822 105151 136462 183644 210302 229555 272924 341155 420604 459110 525755 682310 918220 1051510 1364620 1423241 2103020 2846482 3259681 5692964 6519362 7116205 13038724 14232410 16298405 28464820 32596810 65193620 101050111 202100222 404200444 505250555 1010501110 2021002220