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22052420 = 2251389953
BaseRepresentation
bin101010000011…
…1111001000100
31112111101020022
41110013321010
521121134140
62104354312
7355304525
oct124077104
945441208
1022052420
11114a2345
127475998
134751690
142d0084c
151e090b5
hex1507e44

22052420 has 48 divisors (see below), whose sum is σ = 50485680. Its totient is φ = 8042496.

The previous prime is 22052347. The next prime is 22052431. The reversal of 22052420 is 2425022.

It can be written as a sum of positive squares in 8 ways, for example, as 4596736 + 17455684 = 2144^2 + 4178^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22664 + ... + 23616.

It is an arithmetic number, because the mean of its divisors is an integer number (1051785).

Almost surely, 222052420 is an apocalyptic number.

22052420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242840).

22052420 is an abundant number, since it is smaller than the sum of its proper divisors (28433260).

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

22052420 is a wasteful number, since it uses less digits than its factorization.

22052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22052420 is about 4696.0004258944. Note that the first 3 decimals coincide. The cubic root of 22052420 is about 280.4263063917.

Adding to 22052420 its reverse (2425022), we get a palindrome (24477442).

It can be divided in two parts, 2205 and 2420, that multiplied together give a square (5336100 = 23102).

The spelling of 22052420 in words is "twenty-two million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 953 1157 1780 1906 2314 3812 4628 4765 5785 9530 11570 12389 19060 23140 24778 49556 61945 84817 123890 169634 247780 339268 424085 848170 1102621 1696340 2205242 4410484 5513105 11026210 22052420