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2242012041200 = 245223503484487
BaseRepresentation
bin100000101000000010010…
…101001100111111110000
321221100000200012100121102
4200220002111030333300
5243213120040304300
64433544402543532
7320660101625141
oct40500225147760
97840020170542
102242012041200
11794917391398
12302625367ba8
13133561737b09
147a72a44dac8
153d4be8c90d5
hex20a0254cff0

2242012041200 has 120 divisors (see below), whose sum is σ = 5631812540928. Its totient is φ = 856106141440.

The previous prime is 2242012041187. The next prime is 2242012041209. The reversal of 2242012041200 is 21402102422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242012041209) 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, 4385357 + ... + 4869843.

Almost surely, 22242012041200 is an apocalyptic number.

2242012041200 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 2242012041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815906270464).

2242012041200 is an abundant number, since it is smaller than the sum of its proper divisors (3389800499728).

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

2242012041200 is a wasteful number, since it uses less digits than its factorization.

2242012041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485031 (or 485020 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2242012041200 its reverse (21402102422), we get a palindrome (2263414143622).

The spelling of 2242012041200 in words is "two trillion, two hundred forty-two billion, twelve million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 503 575 920 1006 1150 1840 2012 2300 2515 4024 4600 5030 8048 9200 10060 11569 12575 20120 23138 25150 40240 46276 50300 57845 92552 100600 115690 185104 201200 231380 289225 462760 484487 578450 925520 968974 1156900 1937948 2313800 2422435 3875896 4627600 4844870 7751792 9689740 11143201 12112175 19379480 22286402 24224350 38758960 44572804 48448700 55716005 89145608 96897400 111432010 178291216 193794800 222864020 243696961 278580025 445728040 487393922 557160050 891456080 974787844 1114320100 1218484805 1949575688 2228640200 2436969610 3899151376 4457280400 4873939220 5605030103 6092424025 9747878440 11210060206 12184848050 19495756880 22420120412 24369696100 28025150515 44840240824 48739392200 56050301030 89680481648 97478784400 112100602060 140125752575 224201204120 280251505150 448402408240 560503010300 1121006020600 2242012041200