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2245541445500 = 225359311244759
BaseRepresentation
bin100000101011010100101…
…100110011111101111100
321221200010122101200010012
4200223110230303331330
5243242332102224000
64435330522202352
7321143416232453
oct40532454637574
97850118350105
102245541445500
11796368672051
1230324b3533b8
131339a49cb222
147a9830a3b9a
153d629693735
hex20ad4b33f7c

2245541445500 has 96 divisors (see below), whose sum is σ = 5003442662400. Its totient is φ = 880149768000.

The previous prime is 2245541445431. The next prime is 2245541445517. The reversal of 2245541445500 is 55441455422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9052121 + ... + 9296879.

It is an arithmetic number, because the mean of its divisors is an integer number (52119194400).

Almost surely, 22245541445500 is an apocalyptic number.

2245541445500 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 2245541445500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501721331200).

2245541445500 is an abundant number, since it is smaller than the sum of its proper divisors (2757901216900).

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

2245541445500 is a wasteful number, since it uses less digits than its factorization.

2245541445500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245148 (or 245136 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 41.

The spelling of 2245541445500 in words is "two trillion, two hundred forty-five billion, five hundred forty-one million, four hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 311 500 590 622 1180 1244 1475 1555 2950 3110 5900 6220 7375 7775 14750 15550 18349 29500 31100 36698 38875 73396 77750 91745 155500 183490 244759 366980 458725 489518 917450 979036 1223795 1834900 2293625 2447590 4587250 4895180 6118975 9174500 12237950 14440781 24475900 28881562 30594875 57763124 61189750 72203905 76120049 122379500 144407810 152240098 288815620 304480196 361019525 380600245 722039050 761200490 1444078100 1522400980 1805097625 1903001225 3610195250 3806002450 4491082891 7220390500 7612004900 8982165782 9515006125 17964331564 19030012250 22455414455 38060024500 44910828910 89821657820 112277072275 224554144550 449108289100 561385361375 1122770722750 2245541445500