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2441002224100 = 225211318339611
BaseRepresentation
bin100011100001010111000…
…100100000100111100100
322122100122122100000110111
4203201113010200213210
5304443133032132400
65105214141102404
7341233211363026
oct43412704404744
98570578300414
102441002224100
11861250134000
123350ba857a04
1314925479057b
148620638a016
154376937d3ba
hex238571209e4

2441002224100 has 72 divisors (see below), whose sum is σ = 5826274657056. Its totient is φ = 887637124000.

The previous prime is 2441002224079. The next prime is 2441002224103. The reversal of 2441002224100 is 14222001442.

It is a super-2 number, since 2×24410022241002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2441002224103) by changing a digit.

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, 9036706 + ... + 9302905.

It is an arithmetic number, because the mean of its divisors is an integer number (80920481348).

Almost surely, 22441002224100 is an apocalyptic number.

2441002224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441002224100 is an abundant number, since it is smaller than the sum of its proper divisors (3385272432956).

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

2441002224100 is a wasteful number, since it uses less digits than its factorization.

2441002224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339658 (or 18339629 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2441002224100 its reverse (14222001442), we get a palindrome (2455224225542).

The spelling of 2441002224100 in words is "two trillion, four hundred forty-one billion, two million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 33275 66550 133100 18339611 36679222 73358444 91698055 183396110 201735721 366792220 403471442 458490275 806942884 916980550 1008678605 1833961100 2017357210 2219092931 4034714420 4438185862 5043393025 8876371724 10086786050 11095464655 20173572100 22190929310 24410022241 44381858620 48820044482 55477323275 97640088964 110954646550 122050111205 221909293100 244100222410 488200444820 610250556025 1220501112050 2441002224100