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2200114002324 = 2237592593171203
BaseRepresentation
bin100000000001000001000…
…000110111100110010100
321210022212201122110020210
4200001001000313212110
5242021313141033244
64402415102325420
7314644606313250
oct40010100674624
97708781573223
102200114002324
11779076aa7687
122b6491889870
1312c61538a534
14786b3b69260
153c36b4704b9
hex20041037994

2200114002324 has 96 divisors (see below), whose sum is σ = 5968746685440. Its totient is φ = 617707772928.

The previous prime is 2200114002313. The next prime is 2200114002343. The reversal of 2200114002324 is 4232004110022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2200114002324.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12765307 + ... + 12936509.

It is an arithmetic number, because the mean of its divisors is an integer number (62174444640).

Almost surely, 22200114002324 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 2200114002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984373342720).

2200114002324 is an abundant number, since it is smaller than the sum of its proper divisors (3768632683116).

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

2200114002324 is a wasteful number, since it uses less digits than its factorization.

2200114002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173869 (or 173867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2200114002324 its reverse (4232004110022), we get a palindrome (6432118112346).

The spelling of 2200114002324 in words is "two trillion, two hundred billion, one hundred fourteen million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 2593 4956 5186 7779 10372 15558 18151 31116 36302 54453 72604 108906 152987 171203 217812 305974 342406 458961 513609 611948 684812 917922 1027218 1070909 1198421 1835844 2054436 2141818 2396842 3212727 3595263 4283636 4793684 6425454 7190526 10100977 12850908 14381052 20201954 30302931 40403908 60605862 70706839 121211724 141413678 212120517 282827356 424241034 443929379 848482068 887858758 1331788137 1775717516 2663576274 3107505653 5327152548 6215011306 9322516959 12430022612 18645033918 26191833361 37290067836 52383666722 78575500083 104767333444 157151000166 183342833527 314302000332 366685667054 550028500581 733371334108 1100057001162 2200114002324