Search a number
-
+
2022101022200 = 23527210114913711
BaseRepresentation
bin11101011011001110100…
…111001111010111111000
321011022101200211002211212
4131123032213033113320
5231112230330202300
64144535042342252
7266043356044100
oct35331647172770
97138350732755
102022101022200
1170a628346996
12287a9165a988
131188b62c71bc
146dc27c0a200
15378ed413935
hex1d6ce9cf5f8

2022101022200 has 288 divisors, whose sum is σ = 5560579368000. Its totient is φ = 681770880000.

The previous prime is 2022101022173. The next prime is 2022101022233. The reversal of 2022101022200 is 22201012202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147473345 + ... + 147487055.

It is an arithmetic number, because the mean of its divisors is an integer number (19307567250).

Almost surely, 22022101022200 is an apocalyptic number.

2022101022200 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 2022101022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780289684000).

2022101022200 is an abundant number, since it is smaller than the sum of its proper divisors (3538478345800).

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

2022101022200 is a wasteful number, since it uses less digits than its factorization.

2022101022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022101022200 its reverse (22201012202), we get a palindrome (2044302034402).

The spelling of 2022101022200 in words is "two trillion, twenty-two billion, one hundred one million, twenty-two thousand, two hundred".