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22221004100 = 2252222210041
BaseRepresentation
bin10100101100011110…
…011001110101000100
32010100121201222002212
4110230132121311010
5331002034112400
614112545122552
71414441263341
oct245436316504
963317658085
1022221004100
1194731a52a9
124381929458
132131881749
14110b26d7c8
158a0c36335
hex52c799d44

22221004100 has 18 divisors (see below), whose sum is σ = 48219579114. Its totient is φ = 8888401600.

The previous prime is 22221004097. The next prime is 22221004129. The reversal of 22221004100 is 140012222.

It can be written as a sum of positive squares in 3 ways, for example, as 7200540736 + 15020463364 = 84856^2 + 122558^2 .

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, 111104921 + ... + 111105120.

Almost surely, 222221004100 is an apocalyptic number.

22221004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221004100 is an abundant number, since it is smaller than the sum of its proper divisors (25998575014).

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

22221004100 is a wasteful number, since it uses less digits than its factorization.

22221004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222210055 (or 222210048 counting only the distinct ones).

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

Adding to 22221004100 its reverse (140012222), we get a palindrome (22361016322).

The spelling of 22221004100 in words is "twenty-two billion, two hundred twenty-one million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222210041 444420082 888840164 1111050205 2222100410 4444200820 5555251025 11110502050 22221004100