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2243121322232 = 2372411271098953
BaseRepresentation
bin100000101001000100011…
…100110001100011111000
321221102212222111200010002
4200221010130301203320
5243222403024302412
64434250430412132
7321026431434500
oct40510434614370
97842788450102
102243121322232
1179533656567a
12302894961048
131336aa4b801b
147a7d38c6a00
153d536e94dc2
hex20a447318f8

2243121322232 has 96 divisors (see below), whose sum is σ = 5051320081920. Its totient is φ = 930504637440.

The previous prime is 2243121322201. The next prime is 2243121322279. The reversal of 2243121322232 is 2322231213422.

It is a junction number, because it is equal to n+sod(n) for n = 2243121322195 and 2243121322204.

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 23 ways as a sum of consecutive naturals, for example, 1491668 + ... + 2590620.

It is an arithmetic number, because the mean of its divisors is an integer number (52617917520).

Almost surely, 22243121322232 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 2243121322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525660040960).

2243121322232 is an abundant number, since it is smaller than the sum of its proper divisors (2808198759688).

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

2243121322232 is a wasteful number, since it uses less digits than its factorization.

2243121322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099141 (or 1099130 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

Adding to 2243121322232 its reverse (2322231213422), we get a palindrome (4565352535654).

The spelling of 2243121322232 in words is "two trillion, two hundred forty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 127 164 196 254 287 328 392 508 574 889 1016 1148 1778 2009 2296 3556 4018 5207 6223 7112 8036 10414 12446 16072 20828 24892 36449 41656 49784 72898 145796 255143 291592 510286 1020572 1098953 2041144 2197906 4395812 7692671 8791624 15385342 30770684 45057073 53848697 61541368 90114146 107697394 139567031 180228292 215394788 279134062 315399511 360456584 430789576 558268124 630799022 976969217 1116536248 1261598044 1953938434 2207796577 2523196088 3907876868 4415593154 5722248271 6838784519 7815753736 8831186308 11444496542 13677569038 17662372616 22888993084 27355138076 40055737897 45777986168 54710276152 80111475794 160222951588 280390165279 320445903176 560780330558 1121560661116 2243121322232