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1022400222320 = 245292044321557
BaseRepresentation
bin11101110000010111100…
…11010101010001110000
310121201222211101121202202
432320023303111101300
5113222333424103240
62101403441002332
7133603013333441
oct16701363252160
93551884347682
101022400222320
113646632a9524
121461939233a8
1375548009369
14376ad4092c8
151b8dd09e315
hexee0bcd5470

1022400222320 has 80 divisors (see below), whose sum is σ = 2459283176160. Its totient is φ = 394820385792.

The previous prime is 1022400222313. The next prime is 1022400222329. The reversal of 1022400222320 is 232220042201.

1022400222320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1022400222292 and 1022400222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022400222329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47416982 + ... + 47438538.

It is an arithmetic number, because the mean of its divisors is an integer number (30741039702).

Almost surely, 21022400222320 is an apocalyptic number.

1022400222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022400222320 is an abundant number, since it is smaller than the sum of its proper divisors (1436882953840).

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

1022400222320 is a wasteful number, since it uses less digits than its factorization.

1022400222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42042 (or 42036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1022400222320 its reverse (232220042201), we get a palindrome (1254620264521).

The spelling of 1022400222320 in words is "one trillion, twenty-two billion, four hundred million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 20443 21557 40886 43114 81772 86228 102215 107785 163544 172456 204430 215570 327088 344912 408860 431140 592847 625153 817720 862280 1185694 1250306 1635440 1724560 2371388 2500612 2964235 3125765 4742776 5001224 5928470 6251530 9485552 10002448 11856940 12503060 23713880 25006120 47427760 50012240 440689751 881379502 1762759004 2203448755 3525518008 4406897510 7051036016 8813795020 12780002779 17627590040 25560005558 35255180080 51120011116 63900013895 102240022232 127800027790 204480044464 255600055580 511200111160 1022400222320