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22105004420 = 2252773990073
BaseRepresentation
bin10100100101100011…
…111001100110000100
32010001112110120110102
4110211203321212010
5330232340120140
614053242543232
71411532303012
oct244543714604
963045416412
1022105004420
119413775aa4
12434ab07b18
132113828595
1410d9ab58b2
15895970e15
hex5258f9984

22105004420 has 24 divisors (see below), whose sum is σ = 46588104024. Its totient is φ = 8810078976.

The previous prime is 22105004419. The next prime is 22105004437. The reversal of 22105004420 is 2440050122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3025660036 + 19079344384 = 55006^2 + 138128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22105004392 and 22105004401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989497 + ... + 2000576.

It is an arithmetic number, because the mean of its divisors is an integer number (1941171001).

Almost surely, 222105004420 is an apocalyptic number.

22105004420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105004420 is an abundant number, since it is smaller than the sum of its proper divisors (24483099604).

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

22105004420 is a wasteful number, since it uses less digits than its factorization.

22105004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990359 (or 3990357 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22105004420 its reverse (2440050122), we get a palindrome (24545054542).

The spelling of 22105004420 in words is "twenty-two billion, one hundred five million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 3990073 7980146 15960292 19950365 39900730 79801460 1105250221 2210500442 4421000884 5526251105 11052502210 22105004420