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2124230444 = 2271743671549
BaseRepresentation
bin111111010011101…
…0010111100101100
312111001010002100122
41332213102330230
513322300333234
6550441344112
7103432442450
oct17647227454
95431102318
102124230444
119a0088856
124b3498038
1327b1229bb
14162196660
15c675192e
hex7e9d2f2c

2124230444 has 96 divisors (see below), whose sum is σ = 4674700800. Its totient is φ = 823882752.

The previous prime is 2124230443. The next prime is 2124230467. The reversal of 2124230444 is 4440324212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2124230441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370582 + ... + 1372130.

It is an arithmetic number, because the mean of its divisors is an integer number (48694800).

Almost surely, 22124230444 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 2124230444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337350400).

2124230444 is an abundant number, since it is smaller than the sum of its proper divisors (2550470356).

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

2124230444 is a wasteful number, since it uses less digits than its factorization.

2124230444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

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

The square root of 2124230444 is about 46089.3745238531. The cubic root of 2124230444 is about 1285.4855808909.

Adding to 2124230444 its reverse (4440324212), we get a palindrome (6564554656).

The spelling of 2124230444 in words is "two billion, one hundred twenty-four million, two hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 43 67 68 86 119 134 172 238 268 301 469 476 602 731 938 1139 1204 1462 1549 1876 2278 2881 2924 3098 4556 5117 5762 6196 7973 10234 10843 11524 15946 20167 20468 21686 26333 31892 40334 43372 48977 52666 66607 80668 97954 103783 105332 133214 184331 195908 207566 266428 342839 368662 415132 466249 685678 726481 737324 932498 1132319 1371356 1452962 1764311 1864996 2264638 2905924 3528622 4462669 4529276 7057244 7926233 8925338 12350177 15852466 17850676 24700354 31238683 31704932 49400708 62477366 75865373 124954732 151730746 303461492 531057611 1062115222 2124230444