Search a number
-
+
2344223121200 = 245223937127191
BaseRepresentation
bin100010000111001110100…
…101100001111100110000
322022002211221101012101222
4202013032211201330300
5301401432104334300
64552530553044212
7331236014521052
oct42071645417460
98262757335358
102344223121200
118241a7924634
1231a3ab6b6668
131400a03581cc
1481664dd38d2
1540ea2cbd785
hex221ce961f30

2344223121200 has 120 divisors (see below), whose sum is σ = 5877708731136. Its totient is φ = 896791456000.

The previous prime is 2344223121181. The next prime is 2344223121203. The reversal of 2344223121200 is 21213224432.

It is a self number, because there is not a number n which added to its sum of digits gives 2344223121200.

It is not an unprimeable number, because it can be changed into a prime (2344223121203) 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 23 ways as a sum of consecutive naturals, for example, 86199605 + ... + 86226795.

Almost surely, 22344223121200 is an apocalyptic number.

2344223121200 is a gapful number since it is divisible by the number (20) 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 2344223121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938854365568).

2344223121200 is an abundant number, since it is smaller than the sum of its proper divisors (3533485609936).

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

2344223121200 is a wasteful number, since it uses less digits than its factorization.

2344223121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36603 (or 36592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2344223121200 its reverse (21213224432), we get a palindrome (2365436345632).

The spelling of 2344223121200 in words is "two trillion, three hundred forty-four billion, two hundred twenty-three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 9371 18742 27191 37484 46855 54382 74968 93710 108764 135955 149936 187420 215533 217528 234275 271910 374840 431066 435056 468550 543820 625393 679775 749680 862132 937100 1077665 1087640 1250786 1359550 1724264 1874200 2155330 2175280 2501572 2719100 3126965 3448528 3748400 4310660 5003144 5388325 5438200 6253930 8621320 10006288 10776650 10876400 12507860 15634825 17242640 21553300 25015720 31269650 43106600 50031440 62539300 86213200 125078600 250157200 254806861 509613722 1019227444 1274034305 2038454888 2548068610 4076909776 5096137220 5860557803 6370171525 10192274440 11721115606 12740343050 20384548880 23442231212 25480686100 29302789015 46884462424 50961372200 58605578030 93768924848 101922744400 117211156060 146513945075 234422312120 293027890150 468844624240 586055780300 1172111560600 2344223121200