Search a number
-
+
22200420 = 22351133637
BaseRepresentation
bin101010010110…
…0000001100100
31112202220020210
41110230001210
521140403140
62111455420
7356462154
oct124540144
945686223
1022200420
1111593560
127527570
1347a3b58
142d3c764
151e37d80
hex152c064

22200420 has 48 divisors (see below), whose sum is σ = 67814208. Its totient is φ = 5381760.

The previous prime is 22200397. The next prime is 22200421. The reversal of 22200420 is 2400222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22200396 and 22200405.

It is not an unprimeable number, because it can be changed into a prime (22200421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16159 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (1412796).

Almost surely, 222200420 is an apocalyptic number.

22200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200420 is an abundant number, since it is smaller than the sum of its proper divisors (45613788).

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

22200420 is a wasteful number, since it uses less digits than its factorization.

22200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22200420 is about 4711.7321655629. The cubic root of 22200420 is about 281.0522481503.

Adding to 22200420 its reverse (2400222), we get a palindrome (24600642).

The spelling of 22200420 in words is "twenty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 33637 67274 100911 134548 168185 201822 336370 370007 403644 504555 672740 740014 1009110 1110021 1480028 1850035 2018220 2220042 3700070 4440084 5550105 7400140 11100210 22200420