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2022133040320 = 26523757362941
BaseRepresentation
bin11101011011010000100…
…001011000010011000000
321011022110221001210110011
4131123100201120103000
5231112312024242240
64144542144514304
7266044225146301
oct35332041302300
97138427053404
102022133040320
1170a644425648
12287aa031b994
131188bcb27933
146dc2c1827a8
153790113a6ea
hex1d6d08584c0

2022133040320 has 112 divisors (see below), whose sum is σ = 5031212338368. Its totient is φ = 772661514240.

The previous prime is 2022133040281. The next prime is 2022133040339. The reversal of 2022133040320 is 230403312202.

It is a junction number, because it is equal to n+sod(n) for n = 2022133040291 and 2022133040300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5390050 + ... + 5752990.

Almost surely, 22022133040320 is an apocalyptic number.

2022133040320 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 2022133040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515606169184).

2022133040320 is an abundant number, since it is smaller than the sum of its proper divisors (3009079298048).

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

2022133040320 is a wasteful number, since it uses less digits than its factorization.

2022133040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363738 (or 363728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2022133040320 its reverse (230403312202), we get a palindrome (2252536352522).

The spelling of 2022133040320 in words is "two trillion, twenty-two billion, one hundred thirty-three million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 757 920 1472 1514 1840 3028 3680 3785 6056 7360 7570 12112 15140 17411 24224 30280 34822 48448 60560 69644 87055 121120 139288 174110 242240 278576 348220 362941 557152 696440 725882 1114304 1392880 1451764 1814705 2785760 2903528 3629410 5571520 5807056 7258820 8347643 11614112 14517640 16695286 23228224 29035280 33390572 41738215 58070560 66781144 83476430 116141120 133562288 166952860 267124576 274746337 333905720 534249152 549492674 667811440 1098985348 1335622880 1373731685 2197970696 2671245760 2747463370 4395941392 5494926740 6319165751 8791882784 10989853480 12638331502 17583765568 21979706960 25276663004 31595828755 43959413920 50553326008 63191657510 87918827840 101106652016 126383315020 202213304032 252766630040 404426608064 505533260080 1011066520160 2022133040320