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2243322231100 = 22521091491381271
BaseRepresentation
bin100000101001010000011…
…011001011100100111100
321221110101222112220021021
4200221100123023210330
5243223310442343400
64434322404513524
7321034421225566
oct40512033134474
97843358486237
102243322231100
11795429a09465
123029300ab8a4
1313370ccccc02
147a812464336
153d54992d71a
hex20a506cb93c

2243322231100 has 72 divisors (see below), whose sum is σ = 4945644396000. Its totient is φ = 883128787200.

The previous prime is 2243322231089. The next prime is 2243322231113. The reversal of 2243322231100 is 11322233422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933465 + ... + 2314735.

It is an arithmetic number, because the mean of its divisors is an integer number (68689505500).

Almost surely, 22243322231100 is an apocalyptic number.

2243322231100 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 2243322231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472822198000).

2243322231100 is an abundant number, since it is smaller than the sum of its proper divisors (2702322164900).

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

2243322231100 is a wasteful number, since it uses less digits than its factorization.

2243322231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381543 (or 1381536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2243322231100 its reverse (11322233422), we get a palindrome (2254644464522).

The spelling of 2243322231100 in words is "two trillion, two hundred forty-three billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 149 218 298 436 545 596 745 1090 1490 2180 2725 2980 3725 5450 7450 10900 14900 16241 32482 64964 81205 162410 324820 406025 812050 1381271 1624100 2762542 5525084 6906355 13812710 27625420 34531775 69063550 138127100 150558539 205809379 301117078 411618758 602234156 752792695 823237516 1029046895 1505585390 2058093790 3011170780 3763963475 4116187580 5145234475 7527926950 10290468950 15055853900 20580937900 22433222311 44866444622 89732889244 112166111555 224332223110 448664446220 560830557775 1121661115550 2243322231100