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22200010100 = 2252222000101
BaseRepresentation
bin10100101011001110…
…010100010101110100
32010022011020100202022
4110223032110111310
5330431200310400
614110515132312
71414064654342
oct245316242564
963264210668
1022200010100
119462366194
1243768a4098
13212a410a68
141108566992
1589de8ab85
hex52b394574

22200010100 has 18 divisors (see below), whose sum is σ = 48174022134. Its totient is φ = 8880004000.

The previous prime is 22200010037. The next prime is 22200010111. The reversal of 22200010100 is 101000222.

It can be written as a sum of positive squares in 3 ways, for example, as 3108508516 + 19091501584 = 55754^2 + 138172^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 110999951 + ... + 111000150.

It is an arithmetic number, because the mean of its divisors is an integer number (2676334563).

Almost surely, 222200010100 is an apocalyptic number.

22200010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200010100 is an abundant number, since it is smaller than the sum of its proper divisors (25974012034).

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

22200010100 is a wasteful number, since it uses less digits than its factorization.

22200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222000115 (or 222000108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22200010100 its reverse (101000222), we get a palindrome (22301010322).

The spelling of 22200010100 in words is "twenty-two billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222000101 444000202 888000404 1110000505 2220001010 4440002020 5550002525 11100005050 22200010100