Search a number
-
+
2222021000100 = 223521123109726687
BaseRepresentation
bin100000010101011010110…
…001011011101110100100
321212102102110112020122210
4200111122301123232210
5242401144334000400
64420440553323420
7316351515603366
oct40253261335644
97772373466583
102222021000100
11787398a21320
122ba786406570
131316c6b78c05
147979141ad36
153cbee82c950
hex2055ac5bba4

2222021000100 has 288 divisors, whose sum is σ = 7325387145216. Its totient is φ = 514762265600.

The previous prime is 2222021000071. The next prime is 2222021000117. The reversal of 2222021000100 is 10001202222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83248957 + ... + 83275643.

It is an arithmetic number, because the mean of its divisors is an integer number (25435372032).

Almost surely, 22222021000100 is an apocalyptic number.

2222021000100 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 2222021000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662693572608).

2222021000100 is an abundant number, since it is smaller than the sum of its proper divisors (5103366145116).

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

2222021000100 is a wasteful number, since it uses less digits than its factorization.

2222021000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27835 (or 27828 counting only the distinct ones).

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

Adding to 2222021000100 its reverse (10001202222), we get a palindrome (2232022202322).

The spelling of 2222021000100 in words is "two trillion, two hundred twenty-two billion, twenty-one million, one hundred", and thus it is an aban number.