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22048020 = 22325122489
BaseRepresentation
bin101010000011…
…0110100010100
31112111011012100
41110012310110
521121014040
62104322100
7355255641
oct124066424
945434170
1022048020
111149a005
127473330
13474c687
142cdcdc8
151e07b30
hex1506d14

22048020 has 36 divisors (see below), whose sum is σ = 66879540. Its totient is φ = 5879424.

The previous prime is 22048009. The next prime is 22048021. The reversal of 22048020 is 2084022.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 9217296 = 3582^2 + 3036^2 .

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

It is a super-2 number, since 2×220480202 = 972230371840800, which contains 22 as substring.

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 = 22047984 and 22048002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22048021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61065 + ... + 61424.

It is an arithmetic number, because the mean of its divisors is an integer number (1857765).

Almost surely, 222048020 is an apocalyptic number.

22048020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22048020 is an abundant number, since it is smaller than the sum of its proper divisors (44831520).

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

22048020 is a wasteful number, since it uses less digits than its factorization.

22048020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122504 (or 122499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22048020 is about 4695.5319187500. The cubic root of 22048020 is about 280.4076545035.

The spelling of 22048020 in words is "twenty-two million, forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122489 244978 367467 489956 612445 734934 1102401 1224890 1469868 1837335 2204802 2449780 3674670 4409604 5512005 7349340 11024010 22048020