Search a number
-
+
422220300 = 2235213710273
BaseRepresentation
bin11001001010101…
…001001000001100
31002102111000100220
4121022221020030
51331042022200
6105521351340
713314545655
oct3112511014
91072430326
10422220300
111a73723a7
12b9498550
13696214c8
144010a52c
15271024a0
hex192a920c

422220300 has 72 divisors (see below), whose sum is σ = 1230660816. Its totient is φ = 111759360.

The previous prime is 422220287. The next prime is 422220373. The reversal of 422220300 is 3022224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 422220300.

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 23 ways as a sum of consecutive naturals, for example, 35964 + ... + 46236.

Almost surely, 2422220300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615330408).

422220300 is an abundant number, since it is smaller than the sum of its proper divisors (808440516).

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

422220300 is a wasteful number, since it uses less digits than its factorization.

422220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 422220300 is about 20547.9999026669. Note that the first 4 decimals coincide. The cubic root of 422220300 is about 750.2045664206.

Adding to 422220300 its reverse (3022224), we get a palindrome (425242524).

The spelling of 422220300 in words is "four hundred twenty-two million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10273 10275 13700 20546 20550 30819 41092 41100 51365 61638 102730 123276 154095 205460 256825 308190 513650 616380 770475 1027300 1407401 1540950 2814802 3081900 4222203 5629604 7037005 8444406 14074010 16888812 21111015 28148020 35185025 42222030 70370050 84444060 105555075 140740100 211110150 422220300