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22105000620 = 22325122805559
BaseRepresentation
bin10100100101100011…
…111000101010101100
32010001112110101020200
4110211203320222230
5330232340004440
614053242513500
71411532255643
oct244543705254
963045411220
1022105000620
11941377315a
12434ab05890
132113826931
1410d9ab435a
1589596ec30
hex5258f8aac

22105000620 has 36 divisors (see below), whose sum is σ = 67051835760. Its totient is φ = 5894666784.

The previous prime is 22105000607. The next prime is 22105000649. The reversal of 22105000620 is 2600050122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22105000593 and 22105000602.

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 11 ways as a sum of consecutive naturals, for example, 61402600 + ... + 61402959.

Almost surely, 222105000620 is an apocalyptic number.

22105000620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105000620 is an abundant number, since it is smaller than the sum of its proper divisors (44946835140).

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

22105000620 is a wasteful number, since it uses less digits than its factorization.

22105000620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122805574 (or 122805569 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 22105000620 its reverse (2600050122), we get a palindrome (24705050742).

The spelling of 22105000620 in words is "twenty-two billion, one hundred five million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122805559 245611118 368416677 491222236 614027795 736833354 1105250031 1228055590 1473666708 1842083385 2210500062 2456111180 3684166770 4421000124 5526250155 7368333540 11052500310 22105000620