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422324144 = 241119312433
BaseRepresentation
bin11001001011000…
…010011110110000
31002102200021210222
4121023002132300
51331103333034
6105523512212
713315460504
oct3113023660
91072607728
10422324144
111a7433420
12b9528668
1369659858
1440136304
152712312e
hex192c27b0

422324144 has 40 divisors (see below), whose sum is σ = 897336912. Its totient is φ = 190955520.

The previous prime is 422324143. The next prime is 422324209. The reversal of 422324144 is 441423224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (422324141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27752 + ... + 40184.

Almost surely, 2422324144 is an apocalyptic number.

422324144 is a gapful number since it is divisible by the number (44) 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 422324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448668456).

422324144 is an abundant number, since it is smaller than the sum of its proper divisors (475012768).

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

422324144 is a wasteful number, since it uses less digits than its factorization.

422324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12639 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 422324144 is about 20550.5266112574. The cubic root of 422324144 is about 750.2660650088.

Adding to 422324144 its reverse (441423224), we get a palindrome (863747368).

The spelling of 422324144 in words is "four hundred twenty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 12433 16984 24866 33968 49732 99464 136763 198928 273526 547052 1094104 2188208 2399569 4799138 9598276 19196552 26395259 38393104 52790518 105581036 211162072 422324144