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2242444043100 = 2235235337955871
BaseRepresentation
bin100000101000011100000…
…101001010001101011100
321221101010210002022210210
4200220130011022031130
5243220011133334400
64434055314132420
7321003565603662
oct40503405121534
97841123068723
102242444043100
11795019224858
12302725b81110
131336000a2641
147a76b984c32
153d4e77ae950
hex20a1c14a35c

2242444043100 has 144 divisors (see below), whose sum is σ = 6523802449920. Its totient is φ = 594707097600.

The previous prime is 2242444043071. The next prime is 2242444043117. The reversal of 2242444043100 is 13404442422.

It is a super-2 number, since 2×22424440431002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40108165 + ... + 40164035.

It is an arithmetic number, because the mean of its divisors is an integer number (45304183680).

Almost surely, 22242444043100 is an apocalyptic number.

2242444043100 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 2242444043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261901224960).

2242444043100 is an abundant number, since it is smaller than the sum of its proper divisors (4281358406820).

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

2242444043100 is a wasteful number, since it uses less digits than its factorization.

2242444043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56620 (or 56613 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2242444043100 its reverse (13404442422), we get a palindrome (2255848485522).

The spelling of 2242444043100 in words is "two trillion, two hundred forty-two billion, four hundred forty-four million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353 379 706 758 1059 1137 1412 1516 1765 1895 2118 2274 3530 3790 4236 4548 5295 5685 7060 7580 8825 9475 10590 11370 17650 18950 21180 22740 26475 28425 35300 37900 52950 55871 56850 105900 111742 113700 133787 167613 223484 267574 279355 335226 401361 535148 558710 668935 670452 802722 838065 1117420 1337870 1396775 1605444 1676130 2006805 2675740 2793550 3344675 3352260 4013610 4190325 5587100 6689350 8027220 8380650 10034025 13378700 16761300 19722463 20068050 21175109 39444926 40136100 42350218 59167389 63525327 78889852 84700436 98612315 105875545 118334778 127050654 197224630 211751090 236669556 254101308 295836945 317626635 394449260 423502180 493061575 529377725 591673890 635253270 986123150 1058755450 1183347780 1270506540 1479184725 1588133175 1972246300 2117510900 2958369450 3176266350 5916738900 6352532700 7474813477 14949626954 22424440431 29899253908 37374067385 44848880862 74748134770 89697761724 112122202155 149496269540 186870336925 224244404310 373740673850 448488808620 560611010775 747481347700 1121222021550 2242444043100