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2231200220200 = 2352724110636221
BaseRepresentation
bin100000011101111101111…
…001011000010000101000
321220022010011211221102121
4200131331321120100220
5243023444224021300
64424555500041024
7320125135644130
oct40357571302050
97808104757377
102231200220200
117902793a2236
12300508533174
1313252a7b90b3
1479dc2565ac0
153d08a60b81a
hex2077de58428

2231200220200 has 192 divisors, whose sum is σ = 5959776049920. Its totient is φ = 760969728000.

The previous prime is 2231200220191. The next prime is 2231200220233. The reversal of 2231200220200 is 20220021322.

It is a super-3 number, since 3×22312002202003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358653090 + ... + 358659310.

It is an arithmetic number, because the mean of its divisors is an integer number (31040500260).

Almost surely, 22231200220200 is an apocalyptic number.

2231200220200 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 2231200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979888024960).

2231200220200 is an abundant number, since it is smaller than the sum of its proper divisors (3728575829720).

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

2231200220200 is a wasteful number, since it uses less digits than its factorization.

2231200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2231200220200 its reverse (20220021322), we get a palindrome (2251420241522).

The spelling of 2231200220200 in words is "two trillion, two hundred thirty-one billion, two hundred million, two hundred twenty thousand, two hundred".