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2245203401300 = 2252233656914669
BaseRepresentation
bin100000101011000000100…
…011010001101001010100
321221122021002022020122122
4200223000203101221110
5243241134032320200
64435233204515112
7321132143012036
oct40530043215124
97848232266578
102245203401300
11796204873482
123031760aba98
1313394c96cb82
147a950229c56
153d609b6c385
hex20ac08d1a54

2245203401300 has 72 divisors (see below), whose sum is σ = 4894080118200. Its totient is φ = 894029854720.

The previous prime is 2245203401281. The next prime is 2245203401341. The reversal of 2245203401300 is 31043025422.

It can be written as a sum of positive squares in 12 ways, for example, as 321983614096 + 1923219787204 = 567436^2 + 1386802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2245203401300.

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, 153050366 + ... + 153065034.

It is an arithmetic number, because the mean of its divisors is an integer number (67973334975).

Almost surely, 22245203401300 is an apocalyptic number.

2245203401300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245203401300 is an abundant number, since it is smaller than the sum of its proper divisors (2648876716900).

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

2245203401300 is a wasteful number, since it uses less digits than its factorization.

2245203401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2245203401300 its reverse (31043025422), we get a palindrome (2276246426722).

The spelling of 2245203401300 in words is "two trillion, two hundred forty-five billion, two hundred three million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 6569 11650 13138 14669 23300 26276 29338 32845 58676 65690 73345 131380 146690 164225 293380 328450 366725 656900 733450 1466900 1530577 3061154 3417877 6122308 6835754 7652885 13671508 15305770 17089385 30611540 34178770 38264425 68357540 76528850 85446925 96360661 153057700 170893850 192721322 341787700 385442644 481803305 963606610 1927213220 2409016525 4818033050 9636066100 22452034013 44904068026 89808136052 112260170065 224520340130 449040680260 561300850325 1122601700650 2245203401300