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22234404100 = 2252821270821
BaseRepresentation
bin10100101101010001…
…100001010100000100
32010101112221202110011
4110231101201110010
5331014001412400
614114144240004
71414663213366
oct245521412404
963345852404
1022234404100
11947a817987
124386310004
132134593a3c
14110cd5ad36
158a1ed18ba
hex52d461504

22234404100 has 36 divisors (see below), whose sum is σ = 48307603428. Its totient is φ = 8882896000.

The previous prime is 22234404089. The next prime is 22234404109. The reversal of 22234404100 is 140443222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5388440836 + 16845963264 = 73406^2 + 129792^2 .

It is not an unprimeable number, because it can be changed into a prime (22234404109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53311 + ... + 217510.

It is an arithmetic number, because the mean of its divisors is an integer number (1341877873).

Almost surely, 222234404100 is an apocalyptic number.

22234404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22234404100 is an abundant number, since it is smaller than the sum of its proper divisors (26073199328).

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

22234404100 is a wasteful number, since it uses less digits than its factorization.

22234404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271656 (or 271649 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22234404100 its reverse (140443222), we get a palindrome (22374847322).

The spelling of 22234404100 in words is "twenty-two billion, two hundred thirty-four million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 821 1642 3284 4105 8210 16420 20525 41050 82100 270821 541642 1083284 1354105 2708210 5416420 6770525 13541050 27082100 222344041 444688082 889376164 1111720205 2223440410 4446880820 5558601025 11117202050 22234404100