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2024224422 = 2311313173121
BaseRepresentation
bin111100010100111…
…0011011010100110
312020001221020212220
41320221303122212
513121200140142
6532510053210
7101106423633
oct17051633246
95201836786
102024224422
11949692850
12485aaa206
132634a953c
14152ba318a
15bca9a2ec
hex78a736a6

2024224422 has 64 divisors (see below), whose sum is σ = 4574803968. Its totient is φ = 591552000.

The previous prime is 2024224369. The next prime is 2024224463. The reversal of 2024224422 is 2244224202.

It is a junction number, because it is equal to n+sod(n) for n = 2024224392 and 2024224401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647022 + ... + 650142.

It is an arithmetic number, because the mean of its divisors is an integer number (71481312).

Almost surely, 22024224422 is an apocalyptic number.

2024224422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024224422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287401984).

2024224422 is an abundant number, since it is smaller than the sum of its proper divisors (2550579546).

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

2024224422 is a wasteful number, since it uses less digits than its factorization.

2024224422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2024224422 is about 44991.3816413766. The cubic root of 2024224422 is about 1264.9874593475.

Adding to 2024224422 its reverse (2244224202), we get a palindrome (4268448624).

The spelling of 2024224422 in words is "two billion, twenty-four million, two hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 317 341 634 682 951 1023 1902 2046 3121 3487 6242 6974 9363 9827 10461 18726 19654 20922 29481 34331 58962 68662 96751 102993 108097 193502 205986 216194 290253 324291 580506 648582 989357 1064261 1978714 2128522 2968071 3192783 5936142 6385566 10882927 21765854 30670067 32648781 61340134 65297562 92010201 184020402 337370737 674741474 1012112211 2024224422