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2220000100200 = 23325222354110223
BaseRepresentation
bin100000010011100010010…
…100010011111101101000
321212020012121211220011100
4200103202110103331220
5242333030011201300
64415504242401400
7316250446334061
oct40234224237550
97766177756140
102220000100200
117865511aa313
122ba301660260
1313146429495c
147963cc81568
153cb321dc700
hex204e2513f68

2220000100200 has 288 divisors, whose sum is σ = 7503509744640. Its totient is φ = 588198412800.

The previous prime is 2220000100177. The next prime is 2220000100207. The reversal of 2220000100200 is 20010000222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2220000100207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217152289 + ... + 217162511.

It is an arithmetic number, because the mean of its divisors is an integer number (26053853280).

Almost surely, 22220000100200 is an apocalyptic number.

2220000100200 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 2220000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751754872320).

2220000100200 is an abundant number, since it is smaller than the sum of its proper divisors (5283509644440).

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

2220000100200 is a wasteful number, since it uses less digits than its factorization.

2220000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2220000100200 its reverse (20010000222), we get a palindrome (2240010100422).

The spelling of 2220000100200 in words is "two trillion, two hundred twenty billion, one hundred thousand, two hundred".